Highest Common Factor of 537, 851 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 537, 851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 537, 851 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 537, 851 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 537, 851 is 1.

HCF(537, 851) = 1

HCF of 537, 851 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 537, 851 is 1.

Highest Common Factor of 537,851 using Euclid's algorithm

Highest Common Factor of 537,851 is 1

Step 1: Since 851 > 537, we apply the division lemma to 851 and 537, to get

851 = 537 x 1 + 314

Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 314 and 537, to get

537 = 314 x 1 + 223

Step 3: We consider the new divisor 314 and the new remainder 223, and apply the division lemma to get

314 = 223 x 1 + 91

We consider the new divisor 223 and the new remainder 91,and apply the division lemma to get

223 = 91 x 2 + 41

We consider the new divisor 91 and the new remainder 41,and apply the division lemma to get

91 = 41 x 2 + 9

We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get

41 = 9 x 4 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 537 and 851 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(91,41) = HCF(223,91) = HCF(314,223) = HCF(537,314) = HCF(851,537) .

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Frequently Asked Questions on HCF of 537, 851 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 537, 851?

Answer: HCF of 537, 851 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 537, 851 using Euclid's Algorithm?

Answer: For arbitrary numbers 537, 851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.