Highest Common Factor of 2771, 4504 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 2771, 4504 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2771, 4504 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 2771, 4504 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 2771, 4504 is 1.

HCF(2771, 4504) = 1

HCF of 2771, 4504 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2771, 4504 is 1.

Highest Common Factor of 2771,4504 using Euclid's algorithm

Highest Common Factor of 2771,4504 is 1

Step 1: Since 4504 > 2771, we apply the division lemma to 4504 and 2771, to get

4504 = 2771 x 1 + 1733

Step 2: Since the reminder 2771 ≠ 0, we apply division lemma to 1733 and 2771, to get

2771 = 1733 x 1 + 1038

Step 3: We consider the new divisor 1733 and the new remainder 1038, and apply the division lemma to get

1733 = 1038 x 1 + 695

We consider the new divisor 1038 and the new remainder 695,and apply the division lemma to get

1038 = 695 x 1 + 343

We consider the new divisor 695 and the new remainder 343,and apply the division lemma to get

695 = 343 x 2 + 9

We consider the new divisor 343 and the new remainder 9,and apply the division lemma to get

343 = 9 x 38 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2771 and 4504 is 1

Notice that 1 = HCF(9,1) = HCF(343,9) = HCF(695,343) = HCF(1038,695) = HCF(1733,1038) = HCF(2771,1733) = HCF(4504,2771) .

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Frequently Asked Questions on HCF of 2771, 4504 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 2771, 4504?

Answer: HCF of 2771, 4504 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2771, 4504 using Euclid's Algorithm?

Answer: For arbitrary numbers 2771, 4504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.