Highest Common Factor of 6645, 9467, 56792 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 6645, 9467, 56792 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6645, 9467, 56792 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 6645, 9467, 56792 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 6645, 9467, 56792 is 1.

HCF(6645, 9467, 56792) = 1

HCF of 6645, 9467, 56792 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 6645, 9467, 56792 is 1.

Highest Common Factor of 6645,9467,56792 using Euclid's algorithm

Highest Common Factor of 6645,9467,56792 is 1

Step 1: Since 9467 > 6645, we apply the division lemma to 9467 and 6645, to get

9467 = 6645 x 1 + 2822

Step 2: Since the reminder 6645 ≠ 0, we apply division lemma to 2822 and 6645, to get

6645 = 2822 x 2 + 1001

Step 3: We consider the new divisor 2822 and the new remainder 1001, and apply the division lemma to get

2822 = 1001 x 2 + 820

We consider the new divisor 1001 and the new remainder 820,and apply the division lemma to get

1001 = 820 x 1 + 181

We consider the new divisor 820 and the new remainder 181,and apply the division lemma to get

820 = 181 x 4 + 96

We consider the new divisor 181 and the new remainder 96,and apply the division lemma to get

181 = 96 x 1 + 85

We consider the new divisor 96 and the new remainder 85,and apply the division lemma to get

96 = 85 x 1 + 11

We consider the new divisor 85 and the new remainder 11,and apply the division lemma to get

85 = 11 x 7 + 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 6645 and 9467 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(85,11) = HCF(96,85) = HCF(181,96) = HCF(820,181) = HCF(1001,820) = HCF(2822,1001) = HCF(6645,2822) = HCF(9467,6645) .

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

Step 1: Since 56792 > 1, we apply the division lemma to 56792 and 1, to get

56792 = 1 x 56792 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56792 is 1

Notice that 1 = HCF(56792,1) .

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Frequently Asked Questions on HCF of 6645, 9467, 56792 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 6645, 9467, 56792?

Answer: HCF of 6645, 9467, 56792 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6645, 9467, 56792 using Euclid's Algorithm?

Answer: For arbitrary numbers 6645, 9467, 56792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.