Highest Common Factor of 3878, 3257 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 3878, 3257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3878, 3257 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 3878, 3257 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 3878, 3257 is 1.

HCF(3878, 3257) = 1

HCF of 3878, 3257 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 3878, 3257 is 1.

Highest Common Factor of 3878,3257 using Euclid's algorithm

Highest Common Factor of 3878,3257 is 1

Step 1: Since 3878 > 3257, we apply the division lemma to 3878 and 3257, to get

3878 = 3257 x 1 + 621

Step 2: Since the reminder 3257 ≠ 0, we apply division lemma to 621 and 3257, to get

3257 = 621 x 5 + 152

Step 3: We consider the new divisor 621 and the new remainder 152, and apply the division lemma to get

621 = 152 x 4 + 13

We consider the new divisor 152 and the new remainder 13,and apply the division lemma to get

152 = 13 x 11 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 3878 and 3257 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(152,13) = HCF(621,152) = HCF(3257,621) = HCF(3878,3257) .

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Frequently Asked Questions on HCF of 3878, 3257 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 3878, 3257?

Answer: HCF of 3878, 3257 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3878, 3257 using Euclid's Algorithm?

Answer: For arbitrary numbers 3878, 3257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.