Highest Common Factor of 2785, 7876 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 2785, 7876 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2785, 7876 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 2785, 7876 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 2785, 7876 is 1.

HCF(2785, 7876) = 1

HCF of 2785, 7876 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 2785, 7876 is 1.

Highest Common Factor of 2785,7876 using Euclid's algorithm

Highest Common Factor of 2785,7876 is 1

Step 1: Since 7876 > 2785, we apply the division lemma to 7876 and 2785, to get

7876 = 2785 x 2 + 2306

Step 2: Since the reminder 2785 ≠ 0, we apply division lemma to 2306 and 2785, to get

2785 = 2306 x 1 + 479

Step 3: We consider the new divisor 2306 and the new remainder 479, and apply the division lemma to get

2306 = 479 x 4 + 390

We consider the new divisor 479 and the new remainder 390,and apply the division lemma to get

479 = 390 x 1 + 89

We consider the new divisor 390 and the new remainder 89,and apply the division lemma to get

390 = 89 x 4 + 34

We consider the new divisor 89 and the new remainder 34,and apply the division lemma to get

89 = 34 x 2 + 21

We consider the new divisor 34 and the new remainder 21,and apply the division lemma to get

34 = 21 x 1 + 13

We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get

21 = 13 x 1 + 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 2785 and 7876 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(34,21) = HCF(89,34) = HCF(390,89) = HCF(479,390) = HCF(2306,479) = HCF(2785,2306) = HCF(7876,2785) .

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Frequently Asked Questions on HCF of 2785, 7876 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 2785, 7876?

Answer: HCF of 2785, 7876 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2785, 7876 using Euclid's Algorithm?

Answer: For arbitrary numbers 2785, 7876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.