Highest Common Factor of 971, 2576, 5796 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 971, 2576, 5796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 971, 2576, 5796 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 971, 2576, 5796 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 971, 2576, 5796 is 1.

HCF(971, 2576, 5796) = 1

HCF of 971, 2576, 5796 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 971, 2576, 5796 is 1.

Highest Common Factor of 971,2576,5796 using Euclid's algorithm

Highest Common Factor of 971,2576,5796 is 1

Step 1: Since 2576 > 971, we apply the division lemma to 2576 and 971, to get

2576 = 971 x 2 + 634

Step 2: Since the reminder 971 ≠ 0, we apply division lemma to 634 and 971, to get

971 = 634 x 1 + 337

Step 3: We consider the new divisor 634 and the new remainder 337, and apply the division lemma to get

634 = 337 x 1 + 297

We consider the new divisor 337 and the new remainder 297,and apply the division lemma to get

337 = 297 x 1 + 40

We consider the new divisor 297 and the new remainder 40,and apply the division lemma to get

297 = 40 x 7 + 17

We consider the new divisor 40 and the new remainder 17,and apply the division lemma to get

40 = 17 x 2 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 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 971 and 2576 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(40,17) = HCF(297,40) = HCF(337,297) = HCF(634,337) = HCF(971,634) = HCF(2576,971) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 5796 > 1, we apply the division lemma to 5796 and 1, to get

5796 = 1 x 5796 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5796 is 1

Notice that 1 = HCF(5796,1) .

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Frequently Asked Questions on HCF of 971, 2576, 5796 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 971, 2576, 5796?

Answer: HCF of 971, 2576, 5796 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 971, 2576, 5796 using Euclid's Algorithm?

Answer: For arbitrary numbers 971, 2576, 5796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.