Highest Common Factor of 2057, 3277 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 2057, 3277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2057, 3277 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 2057, 3277 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 2057, 3277 is 1.

HCF(2057, 3277) = 1

HCF of 2057, 3277 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 2057, 3277 is 1.

Highest Common Factor of 2057,3277 using Euclid's algorithm

Highest Common Factor of 2057,3277 is 1

Step 1: Since 3277 > 2057, we apply the division lemma to 3277 and 2057, to get

3277 = 2057 x 1 + 1220

Step 2: Since the reminder 2057 ≠ 0, we apply division lemma to 1220 and 2057, to get

2057 = 1220 x 1 + 837

Step 3: We consider the new divisor 1220 and the new remainder 837, and apply the division lemma to get

1220 = 837 x 1 + 383

We consider the new divisor 837 and the new remainder 383,and apply the division lemma to get

837 = 383 x 2 + 71

We consider the new divisor 383 and the new remainder 71,and apply the division lemma to get

383 = 71 x 5 + 28

We consider the new divisor 71 and the new remainder 28,and apply the division lemma to get

71 = 28 x 2 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 2057 and 3277 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(71,28) = HCF(383,71) = HCF(837,383) = HCF(1220,837) = HCF(2057,1220) = HCF(3277,2057) .

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Frequently Asked Questions on HCF of 2057, 3277 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 2057, 3277?

Answer: HCF of 2057, 3277 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2057, 3277 using Euclid's Algorithm?

Answer: For arbitrary numbers 2057, 3277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.