Highest Common Factor of 3622, 5367, 50258 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 3622, 5367, 50258 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3622, 5367, 50258 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 3622, 5367, 50258 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 3622, 5367, 50258 is 1.

HCF(3622, 5367, 50258) = 1

HCF of 3622, 5367, 50258 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 3622, 5367, 50258 is 1.

Highest Common Factor of 3622,5367,50258 using Euclid's algorithm

Highest Common Factor of 3622,5367,50258 is 1

Step 1: Since 5367 > 3622, we apply the division lemma to 5367 and 3622, to get

5367 = 3622 x 1 + 1745

Step 2: Since the reminder 3622 ≠ 0, we apply division lemma to 1745 and 3622, to get

3622 = 1745 x 2 + 132

Step 3: We consider the new divisor 1745 and the new remainder 132, and apply the division lemma to get

1745 = 132 x 13 + 29

We consider the new divisor 132 and the new remainder 29,and apply the division lemma to get

132 = 29 x 4 + 16

We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get

29 = 16 x 1 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 3622 and 5367 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(132,29) = HCF(1745,132) = HCF(3622,1745) = HCF(5367,3622) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 50258 > 1, we apply the division lemma to 50258 and 1, to get

50258 = 1 x 50258 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50258 is 1

Notice that 1 = HCF(50258,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3622, 5367, 50258 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 3622, 5367, 50258?

Answer: HCF of 3622, 5367, 50258 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3622, 5367, 50258 using Euclid's Algorithm?

Answer: For arbitrary numbers 3622, 5367, 50258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.