Highest Common Factor of 666, 592 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 666, 592 i.e. 74 the largest integer that leaves a remainder zero for all numbers.

HCF of 666, 592 is 74 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 666, 592 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 666, 592 is 74.

HCF(666, 592) = 74

HCF of 666, 592 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 666, 592 is 74.

Highest Common Factor of 666,592 using Euclid's algorithm

Highest Common Factor of 666,592 is 74

Step 1: Since 666 > 592, we apply the division lemma to 666 and 592, to get

666 = 592 x 1 + 74

Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 74 and 592, to get

592 = 74 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 74, the HCF of 666 and 592 is 74

Notice that 74 = HCF(592,74) = HCF(666,592) .

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Frequently Asked Questions on HCF of 666, 592 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 666, 592?

Answer: HCF of 666, 592 is 74 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 666, 592 using Euclid's Algorithm?

Answer: For arbitrary numbers 666, 592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.