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Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 867 and 255 - Mathematics

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प्रश्न

Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 867 and 255

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उत्तर

To find the H.C.F. of 867 and 255, Using Euclid’s division algorithm.

867 = 255 × 3 + 102

The remainder 102 ≠ 0.

Again using Euclid’s division algorithm

255 = 102 × 2 + 51

The remainder 51 ≠ 0.

Again using Euclid’s division algorithm

102 = 51 × 2 + 0

The remainder is zero.

Therefore = 51

Therefore the H.C.F. of 867 and 255 is 51.

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पाठ 2: Numbers and Sequences - Exercise 2.1 [पृष्ठ ४३]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 2 Numbers and Sequences
Exercise 2.1 | Q 6. (ii) | पृष्ठ ४३

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