Highest Common Factor of 792, 600 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 792, 600 i.e. 24 the largest integer that leaves a remainder zero for all numbers.

HCF of 792, 600 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 792, 600 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 792, 600 is 24.

HCF(792, 600) = 24

HCF of 792, 600 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 792, 600 is 24.

Highest Common Factor of 792,600 using Euclid's algorithm

Highest Common Factor of 792,600 is 24

Step 1: Since 792 > 600, we apply the division lemma to 792 and 600, to get

792 = 600 x 1 + 192

Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 192 and 600, to get

600 = 192 x 3 + 24

Step 3: We consider the new divisor 192 and the new remainder 24, and apply the division lemma to get

192 = 24 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 792 and 600 is 24

Notice that 24 = HCF(192,24) = HCF(600,192) = HCF(792,600) .

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Frequently Asked Questions on HCF of 792, 600 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 792, 600?

Answer: HCF of 792, 600 is 24 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 792, 600 using Euclid's Algorithm?

Answer: For arbitrary numbers 792, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.