Highest Common Factor of 4667, 5677 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 4667, 5677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4667, 5677 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 4667, 5677 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 4667, 5677 is 1.

HCF(4667, 5677) = 1

HCF of 4667, 5677 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 4667, 5677 is 1.

Highest Common Factor of 4667,5677 using Euclid's algorithm

Highest Common Factor of 4667,5677 is 1

Step 1: Since 5677 > 4667, we apply the division lemma to 5677 and 4667, to get

5677 = 4667 x 1 + 1010

Step 2: Since the reminder 4667 ≠ 0, we apply division lemma to 1010 and 4667, to get

4667 = 1010 x 4 + 627

Step 3: We consider the new divisor 1010 and the new remainder 627, and apply the division lemma to get

1010 = 627 x 1 + 383

We consider the new divisor 627 and the new remainder 383,and apply the division lemma to get

627 = 383 x 1 + 244

We consider the new divisor 383 and the new remainder 244,and apply the division lemma to get

383 = 244 x 1 + 139

We consider the new divisor 244 and the new remainder 139,and apply the division lemma to get

244 = 139 x 1 + 105

We consider the new divisor 139 and the new remainder 105,and apply the division lemma to get

139 = 105 x 1 + 34

We consider the new divisor 105 and the new remainder 34,and apply the division lemma to get

105 = 34 x 3 + 3

We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get

34 = 3 x 11 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4667 and 5677 is 1

Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(105,34) = HCF(139,105) = HCF(244,139) = HCF(383,244) = HCF(627,383) = HCF(1010,627) = HCF(4667,1010) = HCF(5677,4667) .

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Frequently Asked Questions on HCF of 4667, 5677 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 4667, 5677?

Answer: HCF of 4667, 5677 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4667, 5677 using Euclid's Algorithm?

Answer: For arbitrary numbers 4667, 5677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.