Highest Common Factor of 602, 8291 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, 8291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 602, 8291 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 602, 8291 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, 8291 is 1.

HCF(602, 8291) = 1

HCF of 602, 8291 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, 8291 is 1.

Highest Common Factor of 602,8291 using Euclid's algorithm

Highest Common Factor of 602,8291 is 1

Step 1: Since 8291 > 602, we apply the division lemma to 8291 and 602, to get

8291 = 602 x 13 + 465

Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 465 and 602, to get

602 = 465 x 1 + 137

Step 3: We consider the new divisor 465 and the new remainder 137, and apply the division lemma to get

465 = 137 x 3 + 54

We consider the new divisor 137 and the new remainder 54,and apply the division lemma to get

137 = 54 x 2 + 29

We consider the new divisor 54 and the new remainder 29,and apply the division lemma to get

54 = 29 x 1 + 25

We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get

29 = 25 x 1 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 602 and 8291 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(54,29) = HCF(137,54) = HCF(465,137) = HCF(602,465) = HCF(8291,602) .

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Frequently Asked Questions on HCF of 602, 8291 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, 8291?

Answer: HCF of 602, 8291 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 602, 8291 using Euclid's Algorithm?

Answer: For arbitrary numbers 602, 8291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.