Highest Common Factor of 2641, 8314, 64882 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 2641, 8314, 64882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2641, 8314, 64882 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 2641, 8314, 64882 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 2641, 8314, 64882 is 1.

HCF(2641, 8314, 64882) = 1

HCF of 2641, 8314, 64882 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 2641, 8314, 64882 is 1.

Highest Common Factor of 2641,8314,64882 using Euclid's algorithm

Highest Common Factor of 2641,8314,64882 is 1

Step 1: Since 8314 > 2641, we apply the division lemma to 8314 and 2641, to get

8314 = 2641 x 3 + 391

Step 2: Since the reminder 2641 ≠ 0, we apply division lemma to 391 and 2641, to get

2641 = 391 x 6 + 295

Step 3: We consider the new divisor 391 and the new remainder 295, and apply the division lemma to get

391 = 295 x 1 + 96

We consider the new divisor 295 and the new remainder 96,and apply the division lemma to get

295 = 96 x 3 + 7

We consider the new divisor 96 and the new remainder 7,and apply the division lemma to get

96 = 7 x 13 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2641 and 8314 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(96,7) = HCF(295,96) = HCF(391,295) = HCF(2641,391) = HCF(8314,2641) .

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

Step 1: Since 64882 > 1, we apply the division lemma to 64882 and 1, to get

64882 = 1 x 64882 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64882 is 1

Notice that 1 = HCF(64882,1) .

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Frequently Asked Questions on HCF of 2641, 8314, 64882 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 2641, 8314, 64882?

Answer: HCF of 2641, 8314, 64882 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2641, 8314, 64882 using Euclid's Algorithm?

Answer: For arbitrary numbers 2641, 8314, 64882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.