Highest Common Factor of 979, 402, 492 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 979, 402, 492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 979, 402, 492 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 979, 402, 492 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 979, 402, 492 is 1.

HCF(979, 402, 492) = 1

HCF of 979, 402, 492 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 979, 402, 492 is 1.

Highest Common Factor of 979,402,492 using Euclid's algorithm

Highest Common Factor of 979,402,492 is 1

Step 1: Since 979 > 402, we apply the division lemma to 979 and 402, to get

979 = 402 x 2 + 175

Step 2: Since the reminder 402 ≠ 0, we apply division lemma to 175 and 402, to get

402 = 175 x 2 + 52

Step 3: We consider the new divisor 175 and the new remainder 52, and apply the division lemma to get

175 = 52 x 3 + 19

We consider the new divisor 52 and the new remainder 19,and apply the division lemma to get

52 = 19 x 2 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 979 and 402 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(52,19) = HCF(175,52) = HCF(402,175) = HCF(979,402) .

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

Step 1: Since 492 > 1, we apply the division lemma to 492 and 1, to get

492 = 1 x 492 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 492 is 1

Notice that 1 = HCF(492,1) .

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Frequently Asked Questions on HCF of 979, 402, 492 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 979, 402, 492?

Answer: HCF of 979, 402, 492 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 979, 402, 492 using Euclid's Algorithm?

Answer: For arbitrary numbers 979, 402, 492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.