Highest Common Factor of 5261, 9070 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 5261, 9070 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5261, 9070 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 5261, 9070 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 5261, 9070 is 1.

HCF(5261, 9070) = 1

HCF of 5261, 9070 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 5261, 9070 is 1.

Highest Common Factor of 5261,9070 using Euclid's algorithm

Highest Common Factor of 5261,9070 is 1

Step 1: Since 9070 > 5261, we apply the division lemma to 9070 and 5261, to get

9070 = 5261 x 1 + 3809

Step 2: Since the reminder 5261 ≠ 0, we apply division lemma to 3809 and 5261, to get

5261 = 3809 x 1 + 1452

Step 3: We consider the new divisor 3809 and the new remainder 1452, and apply the division lemma to get

3809 = 1452 x 2 + 905

We consider the new divisor 1452 and the new remainder 905,and apply the division lemma to get

1452 = 905 x 1 + 547

We consider the new divisor 905 and the new remainder 547,and apply the division lemma to get

905 = 547 x 1 + 358

We consider the new divisor 547 and the new remainder 358,and apply the division lemma to get

547 = 358 x 1 + 189

We consider the new divisor 358 and the new remainder 189,and apply the division lemma to get

358 = 189 x 1 + 169

We consider the new divisor 189 and the new remainder 169,and apply the division lemma to get

189 = 169 x 1 + 20

We consider the new divisor 169 and the new remainder 20,and apply the division lemma to get

169 = 20 x 8 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5261 and 9070 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(169,20) = HCF(189,169) = HCF(358,189) = HCF(547,358) = HCF(905,547) = HCF(1452,905) = HCF(3809,1452) = HCF(5261,3809) = HCF(9070,5261) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5261, 9070 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 5261, 9070?

Answer: HCF of 5261, 9070 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5261, 9070 using Euclid's Algorithm?

Answer: For arbitrary numbers 5261, 9070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.