Highest Common Factor of 4732, 4980, 77475 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 4732, 4980, 77475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4732, 4980, 77475 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 4732, 4980, 77475 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 4732, 4980, 77475 is 1.

HCF(4732, 4980, 77475) = 1

HCF of 4732, 4980, 77475 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 4732, 4980, 77475 is 1.

Highest Common Factor of 4732,4980,77475 using Euclid's algorithm

Highest Common Factor of 4732,4980,77475 is 1

Step 1: Since 4980 > 4732, we apply the division lemma to 4980 and 4732, to get

4980 = 4732 x 1 + 248

Step 2: Since the reminder 4732 ≠ 0, we apply division lemma to 248 and 4732, to get

4732 = 248 x 19 + 20

Step 3: We consider the new divisor 248 and the new remainder 20, and apply the division lemma to get

248 = 20 x 12 + 8

We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get

20 = 8 x 2 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4732 and 4980 is 4

Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(248,20) = HCF(4732,248) = HCF(4980,4732) .

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

Step 1: Since 77475 > 4, we apply the division lemma to 77475 and 4, to get

77475 = 4 x 19368 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 77475 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(77475,4) .

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Frequently Asked Questions on HCF of 4732, 4980, 77475 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 4732, 4980, 77475?

Answer: HCF of 4732, 4980, 77475 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4732, 4980, 77475 using Euclid's Algorithm?

Answer: For arbitrary numbers 4732, 4980, 77475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.