Highest Common Factor of 6257, 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 6257, 3949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6257, 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 6257, 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 6257, 3949 is 1.

HCF(6257, 3949) = 1

HCF of 6257, 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 6257, 3949 is 1.

Highest Common Factor of 6257,3949 using Euclid's algorithm

Highest Common Factor of 6257,3949 is 1

Step 1: Since 6257 > 3949, we apply the division lemma to 6257 and 3949, to get

6257 = 3949 x 1 + 2308

Step 2: Since the reminder 3949 ≠ 0, we apply division lemma to 2308 and 3949, to get

3949 = 2308 x 1 + 1641

Step 3: We consider the new divisor 2308 and the new remainder 1641, and apply the division lemma to get

2308 = 1641 x 1 + 667

We consider the new divisor 1641 and the new remainder 667,and apply the division lemma to get

1641 = 667 x 2 + 307

We consider the new divisor 667 and the new remainder 307,and apply the division lemma to get

667 = 307 x 2 + 53

We consider the new divisor 307 and the new remainder 53,and apply the division lemma to get

307 = 53 x 5 + 42

We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get

53 = 42 x 1 + 11

We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get

42 = 11 x 3 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 6257 and 3949 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(307,53) = HCF(667,307) = HCF(1641,667) = HCF(2308,1641) = HCF(3949,2308) = HCF(6257,3949) .

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Frequently Asked Questions on HCF of 6257, 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 6257, 3949?

Answer: HCF of 6257, 3949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6257, 3949 using Euclid's Algorithm?

Answer: For arbitrary numbers 6257, 3949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.