Highest Common Factor of 6232, 3949 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 6232, 3949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6232, 3949 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 6232, 3949 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 6232, 3949 is 1.

HCF(6232, 3949) = 1

HCF of 6232, 3949 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 6232, 3949 is 1.

Highest Common Factor of 6232,3949 using Euclid's algorithm

Highest Common Factor of 6232,3949 is 1

Step 1: Since 6232 > 3949, we apply the division lemma to 6232 and 3949, to get

6232 = 3949 x 1 + 2283

Step 2: Since the reminder 3949 ≠ 0, we apply division lemma to 2283 and 3949, to get

3949 = 2283 x 1 + 1666

Step 3: We consider the new divisor 2283 and the new remainder 1666, and apply the division lemma to get

2283 = 1666 x 1 + 617

We consider the new divisor 1666 and the new remainder 617,and apply the division lemma to get

1666 = 617 x 2 + 432

We consider the new divisor 617 and the new remainder 432,and apply the division lemma to get

617 = 432 x 1 + 185

We consider the new divisor 432 and the new remainder 185,and apply the division lemma to get

432 = 185 x 2 + 62

We consider the new divisor 185 and the new remainder 62,and apply the division lemma to get

185 = 62 x 2 + 61

We consider the new divisor 62 and the new remainder 61,and apply the division lemma to get

62 = 61 x 1 + 1

We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get

61 = 1 x 61 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6232 and 3949 is 1

Notice that 1 = HCF(61,1) = HCF(62,61) = HCF(185,62) = HCF(432,185) = HCF(617,432) = HCF(1666,617) = HCF(2283,1666) = HCF(3949,2283) = HCF(6232,3949) .

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Frequently Asked Questions on HCF of 6232, 3949 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 6232, 3949?

Answer: HCF of 6232, 3949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6232, 3949 using Euclid's Algorithm?

Answer: For arbitrary numbers 6232, 3949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.