Highest Common Factor of 871, 7511, 4284 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 871, 7511, 4284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 7511, 4284 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 871, 7511, 4284 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 871, 7511, 4284 is 1.

HCF(871, 7511, 4284) = 1

HCF of 871, 7511, 4284 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 871, 7511, 4284 is 1.

Highest Common Factor of 871,7511,4284 using Euclid's algorithm

Highest Common Factor of 871,7511,4284 is 1

Step 1: Since 7511 > 871, we apply the division lemma to 7511 and 871, to get

7511 = 871 x 8 + 543

Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 543 and 871, to get

871 = 543 x 1 + 328

Step 3: We consider the new divisor 543 and the new remainder 328, and apply the division lemma to get

543 = 328 x 1 + 215

We consider the new divisor 328 and the new remainder 215,and apply the division lemma to get

328 = 215 x 1 + 113

We consider the new divisor 215 and the new remainder 113,and apply the division lemma to get

215 = 113 x 1 + 102

We consider the new divisor 113 and the new remainder 102,and apply the division lemma to get

113 = 102 x 1 + 11

We consider the new divisor 102 and the new remainder 11,and apply the division lemma to get

102 = 11 x 9 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 871 and 7511 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(102,11) = HCF(113,102) = HCF(215,113) = HCF(328,215) = HCF(543,328) = HCF(871,543) = HCF(7511,871) .

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

Step 1: Since 4284 > 1, we apply the division lemma to 4284 and 1, to get

4284 = 1 x 4284 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4284 is 1

Notice that 1 = HCF(4284,1) .

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Frequently Asked Questions on HCF of 871, 7511, 4284 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 871, 7511, 4284?

Answer: HCF of 871, 7511, 4284 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 7511, 4284 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 7511, 4284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.