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

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Updated on: September 25th, 2023 According to Euclid’s Division Algorithm, if there are any two integers, a and b, then q and r must also exist in order to satisfy the given condition a = bq + r where 0 ≤ r < b.

Given numbers: 867 and 255

To find: HCF of 867 and 255 using Euclid’s Division Algorithm.

867 will be divided by 255 because 867 is greater than 255.

867 = 255 × 3 + 102

Now divide 255 by 102,

255 = 102 × 2 + 51

Now, 102 will be divided by 51

102 = 51 × 2 + 0

Therefore, the HCF of 867 and 255 using Euclid’s Division Algorithm is 51 because the remainder is zero.

Table of content ## HCF of 867 and 255 using Euclid’s Division Algorithm

As discussed above, the HCF of 867 and 255 using Euclid’s Division Algorithm is 51. The Euclidean algorithm, prime factorization, and long division are the three most frequently used methods for determining the HCF of 867 and 255.

• The largest number that divides 867 and 255 exactly and without a remainder is called the HCF of 867 and 255.
• 1, 3, 17, 51, 289, 867 and 1, 3, 5, 15, 17, 51, 85, 255 are the factors of 867 and 255, respectively.
• The largest positive integer that divides two or more positive integers without leaving a remainder is known as the highest common factor, or HCF, and according to the rules of mathematics, this is usually the largest positive integer.

Summary:

## Use Euclid’s Division Algorithm to find the HCF of 867 and 255.

51 is the HCF of 867 and 255 using Euclid’s Division Algorithm. Euclid’s Division Algorithm is one of the frequently used methods for finding the Highest Common Factor of any given numbers.

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