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

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.

Related Questions:

• Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = the product of the two numbers 26 and 91
• If a = 2³×3, b = 2×3× 5, c = 3ⁿ×5 and LCM (a, b, c) = 2³×3²×5, then n = ?
• If the HCF of 408 and 1032 is expressible in the form 1032 m − 408 × 5, find m
• Express the HCF of 468 and 222 as 468x + 222y where x and y are integers
• If a number 'x' is divisible by another number 'y', then 'x' is also divisible by all the prime factors of 'y'
• How Many Terms of the AP 9, 17, 25, . . . must be taken to Give a Sum of 636?
• Verify that -(-x) = x for (i) x = 11/15 (ii) x = -13/17