Highest Common Factor of 3457, 3965 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 3457, 3965 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3457, 3965 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 3457, 3965 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 3457, 3965 is 1.

HCF(3457, 3965) = 1

HCF of 3457, 3965 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 3457, 3965 is 1.

Highest Common Factor of 3457,3965 using Euclid's algorithm

Highest Common Factor of 3457,3965 is 1

Step 1: Since 3965 > 3457, we apply the division lemma to 3965 and 3457, to get

3965 = 3457 x 1 + 508

Step 2: Since the reminder 3457 ≠ 0, we apply division lemma to 508 and 3457, to get

3457 = 508 x 6 + 409

Step 3: We consider the new divisor 508 and the new remainder 409, and apply the division lemma to get

508 = 409 x 1 + 99

We consider the new divisor 409 and the new remainder 99,and apply the division lemma to get

409 = 99 x 4 + 13

We consider the new divisor 99 and the new remainder 13,and apply the division lemma to get

99 = 13 x 7 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3457 and 3965 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(99,13) = HCF(409,99) = HCF(508,409) = HCF(3457,508) = HCF(3965,3457) .

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Frequently Asked Questions on HCF of 3457, 3965 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 3457, 3965?

Answer: HCF of 3457, 3965 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3457, 3965 using Euclid's Algorithm?

Answer: For arbitrary numbers 3457, 3965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.