Highest Common Factor of 876, 535 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 876, 535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 876, 535 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 876, 535 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 876, 535 is 1.

HCF(876, 535) = 1

HCF of 876, 535 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 876, 535 is 1.

Highest Common Factor of 876,535 using Euclid's algorithm

Highest Common Factor of 876,535 is 1

Step 1: Since 876 > 535, we apply the division lemma to 876 and 535, to get

876 = 535 x 1 + 341

Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 341 and 535, to get

535 = 341 x 1 + 194

Step 3: We consider the new divisor 341 and the new remainder 194, and apply the division lemma to get

341 = 194 x 1 + 147

We consider the new divisor 194 and the new remainder 147,and apply the division lemma to get

194 = 147 x 1 + 47

We consider the new divisor 147 and the new remainder 47,and apply the division lemma to get

147 = 47 x 3 + 6

We consider the new divisor 47 and the new remainder 6,and apply the division lemma to get

47 = 6 x 7 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 876 and 535 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(147,47) = HCF(194,147) = HCF(341,194) = HCF(535,341) = HCF(876,535) .

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Frequently Asked Questions on HCF of 876, 535 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 876, 535?

Answer: HCF of 876, 535 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 876, 535 using Euclid's Algorithm?

Answer: For arbitrary numbers 876, 535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.