Highest Common Factor of 4392, 6265 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 4392, 6265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4392, 6265 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 4392, 6265 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 4392, 6265 is 1.

HCF(4392, 6265) = 1

HCF of 4392, 6265 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4392, 6265 is 1.

Highest Common Factor of 4392,6265 using Euclid's algorithm

Highest Common Factor of 4392,6265 is 1

Step 1: Since 6265 > 4392, we apply the division lemma to 6265 and 4392, to get

6265 = 4392 x 1 + 1873

Step 2: Since the reminder 4392 ≠ 0, we apply division lemma to 1873 and 4392, to get

4392 = 1873 x 2 + 646

Step 3: We consider the new divisor 1873 and the new remainder 646, and apply the division lemma to get

1873 = 646 x 2 + 581

We consider the new divisor 646 and the new remainder 581,and apply the division lemma to get

646 = 581 x 1 + 65

We consider the new divisor 581 and the new remainder 65,and apply the division lemma to get

581 = 65 x 8 + 61

We consider the new divisor 65 and the new remainder 61,and apply the division lemma to get

65 = 61 x 1 + 4

We consider the new divisor 61 and the new remainder 4,and apply the division lemma to get

61 = 4 x 15 + 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 4392 and 6265 is 1

Notice that 1 = HCF(4,1) = HCF(61,4) = HCF(65,61) = HCF(581,65) = HCF(646,581) = HCF(1873,646) = HCF(4392,1873) = HCF(6265,4392) .

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Frequently Asked Questions on HCF of 4392, 6265 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 4392, 6265?

Answer: HCF of 4392, 6265 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4392, 6265 using Euclid's Algorithm?

Answer: For arbitrary numbers 4392, 6265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.