Highest Common Factor of 7880, 6149 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 7880, 6149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7880, 6149 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 7880, 6149 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 7880, 6149 is 1.

HCF(7880, 6149) = 1

HCF of 7880, 6149 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 7880, 6149 is 1.

Highest Common Factor of 7880,6149 using Euclid's algorithm

Highest Common Factor of 7880,6149 is 1

Step 1: Since 7880 > 6149, we apply the division lemma to 7880 and 6149, to get

7880 = 6149 x 1 + 1731

Step 2: Since the reminder 6149 ≠ 0, we apply division lemma to 1731 and 6149, to get

6149 = 1731 x 3 + 956

Step 3: We consider the new divisor 1731 and the new remainder 956, and apply the division lemma to get

1731 = 956 x 1 + 775

We consider the new divisor 956 and the new remainder 775,and apply the division lemma to get

956 = 775 x 1 + 181

We consider the new divisor 775 and the new remainder 181,and apply the division lemma to get

775 = 181 x 4 + 51

We consider the new divisor 181 and the new remainder 51,and apply the division lemma to get

181 = 51 x 3 + 28

We consider the new divisor 51 and the new remainder 28,and apply the division lemma to get

51 = 28 x 1 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 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 7880 and 6149 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(51,28) = HCF(181,51) = HCF(775,181) = HCF(956,775) = HCF(1731,956) = HCF(6149,1731) = HCF(7880,6149) .

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Frequently Asked Questions on HCF of 7880, 6149 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 7880, 6149?

Answer: HCF of 7880, 6149 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7880, 6149 using Euclid's Algorithm?

Answer: For arbitrary numbers 7880, 6149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.