Highest Common Factor of 4348, 2655 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 4348, 2655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4348, 2655 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 4348, 2655 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 4348, 2655 is 1.

HCF(4348, 2655) = 1

HCF of 4348, 2655 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 4348, 2655 is 1.

Highest Common Factor of 4348,2655 using Euclid's algorithm

Highest Common Factor of 4348,2655 is 1

Step 1: Since 4348 > 2655, we apply the division lemma to 4348 and 2655, to get

4348 = 2655 x 1 + 1693

Step 2: Since the reminder 2655 ≠ 0, we apply division lemma to 1693 and 2655, to get

2655 = 1693 x 1 + 962

Step 3: We consider the new divisor 1693 and the new remainder 962, and apply the division lemma to get

1693 = 962 x 1 + 731

We consider the new divisor 962 and the new remainder 731,and apply the division lemma to get

962 = 731 x 1 + 231

We consider the new divisor 731 and the new remainder 231,and apply the division lemma to get

731 = 231 x 3 + 38

We consider the new divisor 231 and the new remainder 38,and apply the division lemma to get

231 = 38 x 6 + 3

We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get

38 = 3 x 12 + 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 4348 and 2655 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(231,38) = HCF(731,231) = HCF(962,731) = HCF(1693,962) = HCF(2655,1693) = HCF(4348,2655) .

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Frequently Asked Questions on HCF of 4348, 2655 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 4348, 2655?

Answer: HCF of 4348, 2655 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4348, 2655 using Euclid's Algorithm?

Answer: For arbitrary numbers 4348, 2655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.