Highest Common Factor of 491, 869 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 491, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 491, 869 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 491, 869 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 491, 869 is 1.

HCF(491, 869) = 1

HCF of 491, 869 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 491, 869 is 1.

Highest Common Factor of 491,869 using Euclid's algorithm

Highest Common Factor of 491,869 is 1

Step 1: Since 869 > 491, we apply the division lemma to 869 and 491, to get

869 = 491 x 1 + 378

Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 378 and 491, to get

491 = 378 x 1 + 113

Step 3: We consider the new divisor 378 and the new remainder 113, and apply the division lemma to get

378 = 113 x 3 + 39

We consider the new divisor 113 and the new remainder 39,and apply the division lemma to get

113 = 39 x 2 + 35

We consider the new divisor 39 and the new remainder 35,and apply the division lemma to get

39 = 35 x 1 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 491 and 869 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(39,35) = HCF(113,39) = HCF(378,113) = HCF(491,378) = HCF(869,491) .

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Frequently Asked Questions on HCF of 491, 869 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 491, 869?

Answer: HCF of 491, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 491, 869 using Euclid's Algorithm?

Answer: For arbitrary numbers 491, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.