Use Euclid’s division to find HCF of 126 and 1078. from Mathe
    • Zigya Logo

    Previous Year Papers

    Download Solved Question Papers Free for Offline Practice and view Solutions Online.

    Test Series

    Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

    Test Yourself

    Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
    Advertisement

    Real Numbers

    Multiple Choice QuestionsShort Answer Type

    71.

    If  straight x equals straight P over straight q be a rational number. Such that the prime factorisation ofq is not of the form 2n5m, where n, m are non-negative integers. Then x has a decimal expansion which is non-terminating repeating. Is this statement true ?

    79 Views
    Answer
    72.  Find the L.C.M. and H.C.F. of 17 and 25 by applying the Fundamental theorem of Arithmetic.
    129 Views
    Answer
    73. The product of two numbers is 20736 and their H.C.F. is 54. Find their L.C.M.
    249 Views
    Answer
    74. Find the missing number a, b and c in the following factorisation :
    144 Views
    Answer
    Advertisement
    75.

    The following real numbers have decimal expansions as given below. In each case, Find whether they are rational or not.

    (i) 43.123456789    (ii) 0.101001000 ....

    176 Views
    Answer
    76. The L.C.M. of two numbers is 2079 and their H.C.F. = 27. If one of the numbers is 189, find the other.
    124 Views
    Answer
    77. Write the decimal expansions of the following rational numbers.

    left parenthesis straight i right parenthesis space 13 over 3125 space space left parenthesis ii right parenthesis space space 17 over 512
    103 Views
    Answer
    78.

    Use Euclid’s division algorithm to find the HFC of 867 and 255

    171 Views
    Answer
    Advertisement
    79. Use Euclid’s algorithm to find the HCF of 4052 and 12576.
    822 Views
    Answer
    Advertisement
    Zigya App

    80. Use Euclid’s division to find HCF of 126 and 1078.

    Given integers are 126 and 1078. Clearly 1078 > 126.

    Therefore, by applying Euclid’s division lemma to 126 and 1078, we get


    Given integers are 126 and 1078. Clearly 1078 > 126.Therefore, by

    II. Since, the remainder 70 ≠ 0, we apply division lemma to 70 and 126 to get

    Given integers are 126 and 1078. Clearly 1078 > 126.Therefore, by

    III. We consider the new divisor 70 and new remainder 56 and apply division lemma to get

    Given integers are 126 and 1078. Clearly 1078 > 126.Therefore, by
     

    IV. We consider the new divisor 56 and new remainder 14 and apply division lemma to get

    Given integers are 126 and 1078. Clearly 1078 > 126.Therefore, by

    531 Views
  • Switch Icon Switch
    • Advertisement
    Advertisement
    Flag Popup Icon
    Flag it
    Submit
    Flag Popup Icon
    Switch to
    flexipad
    Share It Icon
    Share it
    Share It
    Share it