Highest Common Factor of 2810, 777 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 2810, 777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2810, 777 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 2810, 777 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 2810, 777 is 1.

HCF(2810, 777) = 1

HCF of 2810, 777 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 2810, 777 is 1.

Highest Common Factor of 2810,777 using Euclid's algorithm

Highest Common Factor of 2810,777 is 1

Step 1: Since 2810 > 777, we apply the division lemma to 2810 and 777, to get

2810 = 777 x 3 + 479

Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 479 and 777, to get

777 = 479 x 1 + 298

Step 3: We consider the new divisor 479 and the new remainder 298, and apply the division lemma to get

479 = 298 x 1 + 181

We consider the new divisor 298 and the new remainder 181,and apply the division lemma to get

298 = 181 x 1 + 117

We consider the new divisor 181 and the new remainder 117,and apply the division lemma to get

181 = 117 x 1 + 64

We consider the new divisor 117 and the new remainder 64,and apply the division lemma to get

117 = 64 x 1 + 53

We consider the new divisor 64 and the new remainder 53,and apply the division lemma to get

64 = 53 x 1 + 11

We consider the new divisor 53 and the new remainder 11,and apply the division lemma to get

53 = 11 x 4 + 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 2810 and 777 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(53,11) = HCF(64,53) = HCF(117,64) = HCF(181,117) = HCF(298,181) = HCF(479,298) = HCF(777,479) = HCF(2810,777) .

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Frequently Asked Questions on HCF of 2810, 777 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 2810, 777?

Answer: HCF of 2810, 777 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2810, 777 using Euclid's Algorithm?

Answer: For arbitrary numbers 2810, 777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.