Highest Common Factor of 531, 878, 791 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 531, 878, 791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 531, 878, 791 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 531, 878, 791 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 531, 878, 791 is 1.

HCF(531, 878, 791) = 1

HCF of 531, 878, 791 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 531, 878, 791 is 1.

Highest Common Factor of 531,878,791 using Euclid's algorithm

Highest Common Factor of 531,878,791 is 1

Step 1: Since 878 > 531, we apply the division lemma to 878 and 531, to get

878 = 531 x 1 + 347

Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 347 and 531, to get

531 = 347 x 1 + 184

Step 3: We consider the new divisor 347 and the new remainder 184, and apply the division lemma to get

347 = 184 x 1 + 163

We consider the new divisor 184 and the new remainder 163,and apply the division lemma to get

184 = 163 x 1 + 21

We consider the new divisor 163 and the new remainder 21,and apply the division lemma to get

163 = 21 x 7 + 16

We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get

21 = 16 x 1 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 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 531 and 878 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(163,21) = HCF(184,163) = HCF(347,184) = HCF(531,347) = HCF(878,531) .

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

Step 1: Since 791 > 1, we apply the division lemma to 791 and 1, to get

791 = 1 x 791 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 791 is 1

Notice that 1 = HCF(791,1) .

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Frequently Asked Questions on HCF of 531, 878, 791 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 531, 878, 791?

Answer: HCF of 531, 878, 791 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 531, 878, 791 using Euclid's Algorithm?

Answer: For arbitrary numbers 531, 878, 791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.