Highest Common Factor of 4961, 8051 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 4961, 8051 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4961, 8051 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 4961, 8051 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 4961, 8051 is 1.

HCF(4961, 8051) = 1

HCF of 4961, 8051 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 4961, 8051 is 1.

Highest Common Factor of 4961,8051 using Euclid's algorithm

Highest Common Factor of 4961,8051 is 1

Step 1: Since 8051 > 4961, we apply the division lemma to 8051 and 4961, to get

8051 = 4961 x 1 + 3090

Step 2: Since the reminder 4961 ≠ 0, we apply division lemma to 3090 and 4961, to get

4961 = 3090 x 1 + 1871

Step 3: We consider the new divisor 3090 and the new remainder 1871, and apply the division lemma to get

3090 = 1871 x 1 + 1219

We consider the new divisor 1871 and the new remainder 1219,and apply the division lemma to get

1871 = 1219 x 1 + 652

We consider the new divisor 1219 and the new remainder 652,and apply the division lemma to get

1219 = 652 x 1 + 567

We consider the new divisor 652 and the new remainder 567,and apply the division lemma to get

652 = 567 x 1 + 85

We consider the new divisor 567 and the new remainder 85,and apply the division lemma to get

567 = 85 x 6 + 57

We consider the new divisor 85 and the new remainder 57,and apply the division lemma to get

85 = 57 x 1 + 28

We consider the new divisor 57 and the new remainder 28,and apply the division lemma to get

57 = 28 x 2 + 1

We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4961 and 8051 is 1

Notice that 1 = HCF(28,1) = HCF(57,28) = HCF(85,57) = HCF(567,85) = HCF(652,567) = HCF(1219,652) = HCF(1871,1219) = HCF(3090,1871) = HCF(4961,3090) = HCF(8051,4961) .

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Frequently Asked Questions on HCF of 4961, 8051 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 4961, 8051?

Answer: HCF of 4961, 8051 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4961, 8051 using Euclid's Algorithm?

Answer: For arbitrary numbers 4961, 8051 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.