Highest Common Factor of 6899, 6732, 64790 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 6899, 6732, 64790 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6899, 6732, 64790 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 6899, 6732, 64790 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 6899, 6732, 64790 is 1.

HCF(6899, 6732, 64790) = 1

HCF of 6899, 6732, 64790 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 6899, 6732, 64790 is 1.

Highest Common Factor of 6899,6732,64790 using Euclid's algorithm

Highest Common Factor of 6899,6732,64790 is 1

Step 1: Since 6899 > 6732, we apply the division lemma to 6899 and 6732, to get

6899 = 6732 x 1 + 167

Step 2: Since the reminder 6732 ≠ 0, we apply division lemma to 167 and 6732, to get

6732 = 167 x 40 + 52

Step 3: We consider the new divisor 167 and the new remainder 52, and apply the division lemma to get

167 = 52 x 3 + 11

We consider the new divisor 52 and the new remainder 11,and apply the division lemma to get

52 = 11 x 4 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 6899 and 6732 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(52,11) = HCF(167,52) = HCF(6732,167) = HCF(6899,6732) .

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

Step 1: Since 64790 > 1, we apply the division lemma to 64790 and 1, to get

64790 = 1 x 64790 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64790 is 1

Notice that 1 = HCF(64790,1) .

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Frequently Asked Questions on HCF of 6899, 6732, 64790 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 6899, 6732, 64790?

Answer: HCF of 6899, 6732, 64790 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6899, 6732, 64790 using Euclid's Algorithm?

Answer: For arbitrary numbers 6899, 6732, 64790 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.