Highest Common Factor of 920, 6267, 9738 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 920, 6267, 9738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 920, 6267, 9738 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 920, 6267, 9738 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 920, 6267, 9738 is 1.

HCF(920, 6267, 9738) = 1

HCF of 920, 6267, 9738 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 920, 6267, 9738 is 1.

Highest Common Factor of 920,6267,9738 using Euclid's algorithm

Highest Common Factor of 920,6267,9738 is 1

Step 1: Since 6267 > 920, we apply the division lemma to 6267 and 920, to get

6267 = 920 x 6 + 747

Step 2: Since the reminder 920 ≠ 0, we apply division lemma to 747 and 920, to get

920 = 747 x 1 + 173

Step 3: We consider the new divisor 747 and the new remainder 173, and apply the division lemma to get

747 = 173 x 4 + 55

We consider the new divisor 173 and the new remainder 55,and apply the division lemma to get

173 = 55 x 3 + 8

We consider the new divisor 55 and the new remainder 8,and apply the division lemma to get

55 = 8 x 6 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 920 and 6267 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(55,8) = HCF(173,55) = HCF(747,173) = HCF(920,747) = HCF(6267,920) .

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

Step 1: Since 9738 > 1, we apply the division lemma to 9738 and 1, to get

9738 = 1 x 9738 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9738 is 1

Notice that 1 = HCF(9738,1) .

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Frequently Asked Questions on HCF of 920, 6267, 9738 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 920, 6267, 9738?

Answer: HCF of 920, 6267, 9738 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 920, 6267, 9738 using Euclid's Algorithm?

Answer: For arbitrary numbers 920, 6267, 9738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.