Highest Common Factor of 4266, 5077 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 4266, 5077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4266, 5077 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 4266, 5077 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 4266, 5077 is 1.

HCF(4266, 5077) = 1

HCF of 4266, 5077 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 4266, 5077 is 1.

Highest Common Factor of 4266,5077 using Euclid's algorithm

Highest Common Factor of 4266,5077 is 1

Step 1: Since 5077 > 4266, we apply the division lemma to 5077 and 4266, to get

5077 = 4266 x 1 + 811

Step 2: Since the reminder 4266 ≠ 0, we apply division lemma to 811 and 4266, to get

4266 = 811 x 5 + 211

Step 3: We consider the new divisor 811 and the new remainder 211, and apply the division lemma to get

811 = 211 x 3 + 178

We consider the new divisor 211 and the new remainder 178,and apply the division lemma to get

211 = 178 x 1 + 33

We consider the new divisor 178 and the new remainder 33,and apply the division lemma to get

178 = 33 x 5 + 13

We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get

33 = 13 x 2 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4266 and 5077 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(178,33) = HCF(211,178) = HCF(811,211) = HCF(4266,811) = HCF(5077,4266) .

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Frequently Asked Questions on HCF of 4266, 5077 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 4266, 5077?

Answer: HCF of 4266, 5077 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4266, 5077 using Euclid's Algorithm?

Answer: For arbitrary numbers 4266, 5077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.