Highest Common Factor of 5077, 7898 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 5077, 7898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5077, 7898 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 5077, 7898 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 5077, 7898 is 1.

HCF(5077, 7898) = 1

HCF of 5077, 7898 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 5077, 7898 is 1.

Highest Common Factor of 5077,7898 using Euclid's algorithm

Highest Common Factor of 5077,7898 is 1

Step 1: Since 7898 > 5077, we apply the division lemma to 7898 and 5077, to get

7898 = 5077 x 1 + 2821

Step 2: Since the reminder 5077 ≠ 0, we apply division lemma to 2821 and 5077, to get

5077 = 2821 x 1 + 2256

Step 3: We consider the new divisor 2821 and the new remainder 2256, and apply the division lemma to get

2821 = 2256 x 1 + 565

We consider the new divisor 2256 and the new remainder 565,and apply the division lemma to get

2256 = 565 x 3 + 561

We consider the new divisor 565 and the new remainder 561,and apply the division lemma to get

565 = 561 x 1 + 4

We consider the new divisor 561 and the new remainder 4,and apply the division lemma to get

561 = 4 x 140 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5077 and 7898 is 1

Notice that 1 = HCF(4,1) = HCF(561,4) = HCF(565,561) = HCF(2256,565) = HCF(2821,2256) = HCF(5077,2821) = HCF(7898,5077) .

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Frequently Asked Questions on HCF of 5077, 7898 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 5077, 7898?

Answer: HCF of 5077, 7898 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5077, 7898 using Euclid's Algorithm?

Answer: For arbitrary numbers 5077, 7898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.