Highest Common Factor of 399, 855 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 399, 855 i.e. 57 the largest integer that leaves a remainder zero for all numbers.

HCF of 399, 855 is 57 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 399, 855 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 399, 855 is 57.

HCF(399, 855) = 57

HCF of 399, 855 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 399, 855 is 57.

Highest Common Factor of 399,855 using Euclid's algorithm

Highest Common Factor of 399,855 is 57

Step 1: Since 855 > 399, we apply the division lemma to 855 and 399, to get

855 = 399 x 2 + 57

Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 57 and 399, to get

399 = 57 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 399 and 855 is 57

Notice that 57 = HCF(399,57) = HCF(855,399) .

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Frequently Asked Questions on HCF of 399, 855 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 399, 855?

Answer: HCF of 399, 855 is 57 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 399, 855 using Euclid's Algorithm?

Answer: For arbitrary numbers 399, 855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.