Highest Common Factor of 2871, 7760, 38252 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 2871, 7760, 38252 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2871, 7760, 38252 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 2871, 7760, 38252 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 2871, 7760, 38252 is 1.

HCF(2871, 7760, 38252) = 1

HCF of 2871, 7760, 38252 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 2871, 7760, 38252 is 1.

Highest Common Factor of 2871,7760,38252 using Euclid's algorithm

Highest Common Factor of 2871,7760,38252 is 1

Step 1: Since 7760 > 2871, we apply the division lemma to 7760 and 2871, to get

7760 = 2871 x 2 + 2018

Step 2: Since the reminder 2871 ≠ 0, we apply division lemma to 2018 and 2871, to get

2871 = 2018 x 1 + 853

Step 3: We consider the new divisor 2018 and the new remainder 853, and apply the division lemma to get

2018 = 853 x 2 + 312

We consider the new divisor 853 and the new remainder 312,and apply the division lemma to get

853 = 312 x 2 + 229

We consider the new divisor 312 and the new remainder 229,and apply the division lemma to get

312 = 229 x 1 + 83

We consider the new divisor 229 and the new remainder 83,and apply the division lemma to get

229 = 83 x 2 + 63

We consider the new divisor 83 and the new remainder 63,and apply the division lemma to get

83 = 63 x 1 + 20

We consider the new divisor 63 and the new remainder 20,and apply the division lemma to get

63 = 20 x 3 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2871 and 7760 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(63,20) = HCF(83,63) = HCF(229,83) = HCF(312,229) = HCF(853,312) = HCF(2018,853) = HCF(2871,2018) = HCF(7760,2871) .

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

Step 1: Since 38252 > 1, we apply the division lemma to 38252 and 1, to get

38252 = 1 x 38252 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38252 is 1

Notice that 1 = HCF(38252,1) .

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Frequently Asked Questions on HCF of 2871, 7760, 38252 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 2871, 7760, 38252?

Answer: HCF of 2871, 7760, 38252 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2871, 7760, 38252 using Euclid's Algorithm?

Answer: For arbitrary numbers 2871, 7760, 38252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.