Highest Common Factor of 8280, 6913, 15676 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 8280, 6913, 15676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8280, 6913, 15676 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 8280, 6913, 15676 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 8280, 6913, 15676 is 1.

HCF(8280, 6913, 15676) = 1

HCF of 8280, 6913, 15676 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 8280, 6913, 15676 is 1.

Highest Common Factor of 8280,6913,15676 using Euclid's algorithm

Highest Common Factor of 8280,6913,15676 is 1

Step 1: Since 8280 > 6913, we apply the division lemma to 8280 and 6913, to get

8280 = 6913 x 1 + 1367

Step 2: Since the reminder 6913 ≠ 0, we apply division lemma to 1367 and 6913, to get

6913 = 1367 x 5 + 78

Step 3: We consider the new divisor 1367 and the new remainder 78, and apply the division lemma to get

1367 = 78 x 17 + 41

We consider the new divisor 78 and the new remainder 41,and apply the division lemma to get

78 = 41 x 1 + 37

We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get

41 = 37 x 1 + 4

We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get

37 = 4 x 9 + 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 8280 and 6913 is 1

Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(78,41) = HCF(1367,78) = HCF(6913,1367) = HCF(8280,6913) .

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

Step 1: Since 15676 > 1, we apply the division lemma to 15676 and 1, to get

15676 = 1 x 15676 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15676 is 1

Notice that 1 = HCF(15676,1) .

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Frequently Asked Questions on HCF of 8280, 6913, 15676 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 8280, 6913, 15676?

Answer: HCF of 8280, 6913, 15676 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8280, 6913, 15676 using Euclid's Algorithm?

Answer: For arbitrary numbers 8280, 6913, 15676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.