Highest Common Factor of 851, 28759 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 851, 28759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 851, 28759 is 1 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 851, 28759 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 851, 28759 is 1.

HCF(851, 28759) = 1

HCF of 851, 28759 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 851, 28759 is 1.

Highest Common Factor of 851,28759 using Euclid's algorithm

Highest Common Factor of 851,28759 is 1

Step 1: Since 28759 > 851, we apply the division lemma to 28759 and 851, to get

28759 = 851 x 33 + 676

Step 2: Since the reminder 851 ≠ 0, we apply division lemma to 676 and 851, to get

851 = 676 x 1 + 175

Step 3: We consider the new divisor 676 and the new remainder 175, and apply the division lemma to get

676 = 175 x 3 + 151

We consider the new divisor 175 and the new remainder 151,and apply the division lemma to get

175 = 151 x 1 + 24

We consider the new divisor 151 and the new remainder 24,and apply the division lemma to get

151 = 24 x 6 + 7

We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get

24 = 7 x 3 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 851 and 28759 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(151,24) = HCF(175,151) = HCF(676,175) = HCF(851,676) = HCF(28759,851) .

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Frequently Asked Questions on HCF of 851, 28759 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 851, 28759?

Answer: HCF of 851, 28759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 851, 28759 using Euclid's Algorithm?

Answer: For arbitrary numbers 851, 28759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.