Highest Common Factor of 979, 948 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, 948 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 979, 948 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, 948 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, 948 is 1.

HCF(979, 948) = 1

HCF of 979, 948 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, 948 is 1.

Highest Common Factor of 979,948 using Euclid's algorithm

Highest Common Factor of 979,948 is 1

Step 1: Since 979 > 948, we apply the division lemma to 979 and 948, to get

979 = 948 x 1 + 31

Step 2: Since the reminder 948 ≠ 0, we apply division lemma to 31 and 948, to get

948 = 31 x 30 + 18

Step 3: We consider the new divisor 31 and the new remainder 18, and apply the division lemma to get

31 = 18 x 1 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 979 and 948 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(31,18) = HCF(948,31) = HCF(979,948) .

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Frequently Asked Questions on HCF of 979, 948 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, 948?

Answer: HCF of 979, 948 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 979, 948 using Euclid's Algorithm?

Answer: For arbitrary numbers 979, 948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.