Highest Common Factor of 871, 5767, 7611 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, 5767, 7611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 5767, 7611 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, 5767, 7611 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, 5767, 7611 is 1.

HCF(871, 5767, 7611) = 1

HCF of 871, 5767, 7611 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, 5767, 7611 is 1.

Highest Common Factor of 871,5767,7611 using Euclid's algorithm

Highest Common Factor of 871,5767,7611 is 1

Step 1: Since 5767 > 871, we apply the division lemma to 5767 and 871, to get

5767 = 871 x 6 + 541

Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 541 and 871, to get

871 = 541 x 1 + 330

Step 3: We consider the new divisor 541 and the new remainder 330, and apply the division lemma to get

541 = 330 x 1 + 211

We consider the new divisor 330 and the new remainder 211,and apply the division lemma to get

330 = 211 x 1 + 119

We consider the new divisor 211 and the new remainder 119,and apply the division lemma to get

211 = 119 x 1 + 92

We consider the new divisor 119 and the new remainder 92,and apply the division lemma to get

119 = 92 x 1 + 27

We consider the new divisor 92 and the new remainder 27,and apply the division lemma to get

92 = 27 x 3 + 11

We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get

27 = 11 x 2 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 5767 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(92,27) = HCF(119,92) = HCF(211,119) = HCF(330,211) = HCF(541,330) = HCF(871,541) = HCF(5767,871) .

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

Step 1: Since 7611 > 1, we apply the division lemma to 7611 and 1, to get

7611 = 1 x 7611 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7611 is 1

Notice that 1 = HCF(7611,1) .

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Frequently Asked Questions on HCF of 871, 5767, 7611 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, 5767, 7611?

Answer: HCF of 871, 5767, 7611 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 5767, 7611 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 5767, 7611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.