Highest Common Factor of 984, 960 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 984, 960 i.e. 24 the largest integer that leaves a remainder zero for all numbers.

HCF of 984, 960 is 24 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 984, 960 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 984, 960 is 24.

HCF(984, 960) = 24

HCF of 984, 960 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 984, 960 is 24.

Highest Common Factor of 984,960 using Euclid's algorithm

Highest Common Factor of 984,960 is 24

Step 1: Since 984 > 960, we apply the division lemma to 984 and 960, to get

984 = 960 x 1 + 24

Step 2: Since the reminder 960 ≠ 0, we apply division lemma to 24 and 960, to get

960 = 24 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 984 and 960 is 24

Notice that 24 = HCF(960,24) = HCF(984,960) .

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Frequently Asked Questions on HCF of 984, 960 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 984, 960?

Answer: HCF of 984, 960 is 24 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 984, 960 using Euclid's Algorithm?

Answer: For arbitrary numbers 984, 960 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.