Highest Common Factor of 254, 9029, 4271 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 254, 9029, 4271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 254, 9029, 4271 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 254, 9029, 4271 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 254, 9029, 4271 is 1.

HCF(254, 9029, 4271) = 1

HCF of 254, 9029, 4271 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 254, 9029, 4271 is 1.

Highest Common Factor of 254,9029,4271 using Euclid's algorithm

Highest Common Factor of 254,9029,4271 is 1

Step 1: Since 9029 > 254, we apply the division lemma to 9029 and 254, to get

9029 = 254 x 35 + 139

Step 2: Since the reminder 254 ≠ 0, we apply division lemma to 139 and 254, to get

254 = 139 x 1 + 115

Step 3: We consider the new divisor 139 and the new remainder 115, and apply the division lemma to get

139 = 115 x 1 + 24

We consider the new divisor 115 and the new remainder 24,and apply the division lemma to get

115 = 24 x 4 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 254 and 9029 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(115,24) = HCF(139,115) = HCF(254,139) = HCF(9029,254) .

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

Step 1: Since 4271 > 1, we apply the division lemma to 4271 and 1, to get

4271 = 1 x 4271 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4271 is 1

Notice that 1 = HCF(4271,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 254, 9029, 4271 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 254, 9029, 4271?

Answer: HCF of 254, 9029, 4271 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 254, 9029, 4271 using Euclid's Algorithm?

Answer: For arbitrary numbers 254, 9029, 4271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.