Highest Common Factor of 791, 424, 287 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 791, 424, 287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 791, 424, 287 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 791, 424, 287 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 791, 424, 287 is 1.

HCF(791, 424, 287) = 1

HCF of 791, 424, 287 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 791, 424, 287 is 1.

Highest Common Factor of 791,424,287 using Euclid's algorithm

Highest Common Factor of 791,424,287 is 1

Step 1: Since 791 > 424, we apply the division lemma to 791 and 424, to get

791 = 424 x 1 + 367

Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 367 and 424, to get

424 = 367 x 1 + 57

Step 3: We consider the new divisor 367 and the new remainder 57, and apply the division lemma to get

367 = 57 x 6 + 25

We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get

57 = 25 x 2 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 424 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(367,57) = HCF(424,367) = HCF(791,424) .

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

Step 1: Since 287 > 1, we apply the division lemma to 287 and 1, to get

287 = 1 x 287 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 287 is 1

Notice that 1 = HCF(287,1) .

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Frequently Asked Questions on HCF of 791, 424, 287 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 791, 424, 287?

Answer: HCF of 791, 424, 287 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 791, 424, 287 using Euclid's Algorithm?

Answer: For arbitrary numbers 791, 424, 287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.