Highest Common Factor of 4342, 7257 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 4342, 7257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4342, 7257 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 4342, 7257 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 4342, 7257 is 1.

HCF(4342, 7257) = 1

HCF of 4342, 7257 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 4342, 7257 is 1.

Highest Common Factor of 4342,7257 using Euclid's algorithm

Highest Common Factor of 4342,7257 is 1

Step 1: Since 7257 > 4342, we apply the division lemma to 7257 and 4342, to get

7257 = 4342 x 1 + 2915

Step 2: Since the reminder 4342 ≠ 0, we apply division lemma to 2915 and 4342, to get

4342 = 2915 x 1 + 1427

Step 3: We consider the new divisor 2915 and the new remainder 1427, and apply the division lemma to get

2915 = 1427 x 2 + 61

We consider the new divisor 1427 and the new remainder 61,and apply the division lemma to get

1427 = 61 x 23 + 24

We consider the new divisor 61 and the new remainder 24,and apply the division lemma to get

61 = 24 x 2 + 13

We consider the new divisor 24 and the new remainder 13,and apply the division lemma to get

24 = 13 x 1 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4342 and 7257 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(24,13) = HCF(61,24) = HCF(1427,61) = HCF(2915,1427) = HCF(4342,2915) = HCF(7257,4342) .

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Frequently Asked Questions on HCF of 4342, 7257 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 4342, 7257?

Answer: HCF of 4342, 7257 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4342, 7257 using Euclid's Algorithm?

Answer: For arbitrary numbers 4342, 7257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.