Highest Common Factor of 3454, 4617 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 3454, 4617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3454, 4617 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 3454, 4617 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 3454, 4617 is 1.

HCF(3454, 4617) = 1

HCF of 3454, 4617 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3454, 4617 is 1.

Highest Common Factor of 3454,4617 using Euclid's algorithm

Highest Common Factor of 3454,4617 is 1

Step 1: Since 4617 > 3454, we apply the division lemma to 4617 and 3454, to get

4617 = 3454 x 1 + 1163

Step 2: Since the reminder 3454 ≠ 0, we apply division lemma to 1163 and 3454, to get

3454 = 1163 x 2 + 1128

Step 3: We consider the new divisor 1163 and the new remainder 1128, and apply the division lemma to get

1163 = 1128 x 1 + 35

We consider the new divisor 1128 and the new remainder 35,and apply the division lemma to get

1128 = 35 x 32 + 8

We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get

35 = 8 x 4 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 3454 and 4617 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(1128,35) = HCF(1163,1128) = HCF(3454,1163) = HCF(4617,3454) .

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Frequently Asked Questions on HCF of 3454, 4617 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 3454, 4617?

Answer: HCF of 3454, 4617 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3454, 4617 using Euclid's Algorithm?

Answer: For arbitrary numbers 3454, 4617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.