Highest Common Factor of 621, 47438 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 621, 47438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 47438 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 621, 47438 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 621, 47438 is 1.

HCF(621, 47438) = 1

HCF of 621, 47438 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 621, 47438 is 1.

Highest Common Factor of 621,47438 using Euclid's algorithm

Highest Common Factor of 621,47438 is 1

Step 1: Since 47438 > 621, we apply the division lemma to 47438 and 621, to get

47438 = 621 x 76 + 242

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 242 and 621, to get

621 = 242 x 2 + 137

Step 3: We consider the new divisor 242 and the new remainder 137, and apply the division lemma to get

242 = 137 x 1 + 105

We consider the new divisor 137 and the new remainder 105,and apply the division lemma to get

137 = 105 x 1 + 32

We consider the new divisor 105 and the new remainder 32,and apply the division lemma to get

105 = 32 x 3 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 621 and 47438 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(105,32) = HCF(137,105) = HCF(242,137) = HCF(621,242) = HCF(47438,621) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 621, 47438 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 621, 47438?

Answer: HCF of 621, 47438 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 47438 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 47438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.