Highest Common Factor of 602, 645 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 602, 645 i.e. 43 the largest integer that leaves a remainder zero for all numbers.

HCF of 602, 645 is 43 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 602, 645 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 602, 645 is 43.

HCF(602, 645) = 43

HCF of 602, 645 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 602, 645 is 43.

Highest Common Factor of 602,645 using Euclid's algorithm

Highest Common Factor of 602,645 is 43

Step 1: Since 645 > 602, we apply the division lemma to 645 and 602, to get

645 = 602 x 1 + 43

Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 43 and 602, to get

602 = 43 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 602 and 645 is 43

Notice that 43 = HCF(602,43) = HCF(645,602) .

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Frequently Asked Questions on HCF of 602, 645 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 602, 645?

Answer: HCF of 602, 645 is 43 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 602, 645 using Euclid's Algorithm?

Answer: For arbitrary numbers 602, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.