Highest Common Factor of 6895, 8182, 10647 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 6895, 8182, 10647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6895, 8182, 10647 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 6895, 8182, 10647 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 6895, 8182, 10647 is 1.

HCF(6895, 8182, 10647) = 1

HCF of 6895, 8182, 10647 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 6895, 8182, 10647 is 1.

Highest Common Factor of 6895,8182,10647 using Euclid's algorithm

Highest Common Factor of 6895,8182,10647 is 1

Step 1: Since 8182 > 6895, we apply the division lemma to 8182 and 6895, to get

8182 = 6895 x 1 + 1287

Step 2: Since the reminder 6895 ≠ 0, we apply division lemma to 1287 and 6895, to get

6895 = 1287 x 5 + 460

Step 3: We consider the new divisor 1287 and the new remainder 460, and apply the division lemma to get

1287 = 460 x 2 + 367

We consider the new divisor 460 and the new remainder 367,and apply the division lemma to get

460 = 367 x 1 + 93

We consider the new divisor 367 and the new remainder 93,and apply the division lemma to get

367 = 93 x 3 + 88

We consider the new divisor 93 and the new remainder 88,and apply the division lemma to get

93 = 88 x 1 + 5

We consider the new divisor 88 and the new remainder 5,and apply the division lemma to get

88 = 5 x 17 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6895 and 8182 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(88,5) = HCF(93,88) = HCF(367,93) = HCF(460,367) = HCF(1287,460) = HCF(6895,1287) = HCF(8182,6895) .

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

Step 1: Since 10647 > 1, we apply the division lemma to 10647 and 1, to get

10647 = 1 x 10647 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10647 is 1

Notice that 1 = HCF(10647,1) .

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Frequently Asked Questions on HCF of 6895, 8182, 10647 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 6895, 8182, 10647?

Answer: HCF of 6895, 8182, 10647 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6895, 8182, 10647 using Euclid's Algorithm?

Answer: For arbitrary numbers 6895, 8182, 10647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.