Highest Common Factor of 5467, 4910 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 5467, 4910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5467, 4910 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 5467, 4910 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 5467, 4910 is 1.

HCF(5467, 4910) = 1

HCF of 5467, 4910 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 5467, 4910 is 1.

Highest Common Factor of 5467,4910 using Euclid's algorithm

Highest Common Factor of 5467,4910 is 1

Step 1: Since 5467 > 4910, we apply the division lemma to 5467 and 4910, to get

5467 = 4910 x 1 + 557

Step 2: Since the reminder 4910 ≠ 0, we apply division lemma to 557 and 4910, to get

4910 = 557 x 8 + 454

Step 3: We consider the new divisor 557 and the new remainder 454, and apply the division lemma to get

557 = 454 x 1 + 103

We consider the new divisor 454 and the new remainder 103,and apply the division lemma to get

454 = 103 x 4 + 42

We consider the new divisor 103 and the new remainder 42,and apply the division lemma to get

103 = 42 x 2 + 19

We consider the new divisor 42 and the new remainder 19,and apply the division lemma to get

42 = 19 x 2 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5467 and 4910 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(42,19) = HCF(103,42) = HCF(454,103) = HCF(557,454) = HCF(4910,557) = HCF(5467,4910) .

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Frequently Asked Questions on HCF of 5467, 4910 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 5467, 4910?

Answer: HCF of 5467, 4910 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5467, 4910 using Euclid's Algorithm?

Answer: For arbitrary numbers 5467, 4910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.