Highest Common Factor of 2605, 9276, 70144 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 2605, 9276, 70144 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2605, 9276, 70144 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 2605, 9276, 70144 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 2605, 9276, 70144 is 1.

HCF(2605, 9276, 70144) = 1

HCF of 2605, 9276, 70144 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 2605, 9276, 70144 is 1.

Highest Common Factor of 2605,9276,70144 using Euclid's algorithm

Highest Common Factor of 2605,9276,70144 is 1

Step 1: Since 9276 > 2605, we apply the division lemma to 9276 and 2605, to get

9276 = 2605 x 3 + 1461

Step 2: Since the reminder 2605 ≠ 0, we apply division lemma to 1461 and 2605, to get

2605 = 1461 x 1 + 1144

Step 3: We consider the new divisor 1461 and the new remainder 1144, and apply the division lemma to get

1461 = 1144 x 1 + 317

We consider the new divisor 1144 and the new remainder 317,and apply the division lemma to get

1144 = 317 x 3 + 193

We consider the new divisor 317 and the new remainder 193,and apply the division lemma to get

317 = 193 x 1 + 124

We consider the new divisor 193 and the new remainder 124,and apply the division lemma to get

193 = 124 x 1 + 69

We consider the new divisor 124 and the new remainder 69,and apply the division lemma to get

124 = 69 x 1 + 55

We consider the new divisor 69 and the new remainder 55,and apply the division lemma to get

69 = 55 x 1 + 14

We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get

55 = 14 x 3 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2605 and 9276 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(69,55) = HCF(124,69) = HCF(193,124) = HCF(317,193) = HCF(1144,317) = HCF(1461,1144) = HCF(2605,1461) = HCF(9276,2605) .

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

Step 1: Since 70144 > 1, we apply the division lemma to 70144 and 1, to get

70144 = 1 x 70144 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70144 is 1

Notice that 1 = HCF(70144,1) .

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Frequently Asked Questions on HCF of 2605, 9276, 70144 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 2605, 9276, 70144?

Answer: HCF of 2605, 9276, 70144 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2605, 9276, 70144 using Euclid's Algorithm?

Answer: For arbitrary numbers 2605, 9276, 70144 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.