Highest Common Factor of 797, 486, 71 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 797, 486, 71 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 797, 486, 71 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 797, 486, 71 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 797, 486, 71 is 1.

HCF(797, 486, 71) = 1

HCF of 797, 486, 71 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 797, 486, 71 is 1.

Highest Common Factor of 797,486,71 using Euclid's algorithm

Highest Common Factor of 797,486,71 is 1

Step 1: Since 797 > 486, we apply the division lemma to 797 and 486, to get

797 = 486 x 1 + 311

Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 311 and 486, to get

486 = 311 x 1 + 175

Step 3: We consider the new divisor 311 and the new remainder 175, and apply the division lemma to get

311 = 175 x 1 + 136

We consider the new divisor 175 and the new remainder 136,and apply the division lemma to get

175 = 136 x 1 + 39

We consider the new divisor 136 and the new remainder 39,and apply the division lemma to get

136 = 39 x 3 + 19

We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get

39 = 19 x 2 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 797 and 486 is 1

Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(136,39) = HCF(175,136) = HCF(311,175) = HCF(486,311) = HCF(797,486) .

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

Step 1: Since 71 > 1, we apply the division lemma to 71 and 1, to get

71 = 1 x 71 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71 is 1

Notice that 1 = HCF(71,1) .

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Frequently Asked Questions on HCF of 797, 486, 71 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 797, 486, 71?

Answer: HCF of 797, 486, 71 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 797, 486, 71 using Euclid's Algorithm?

Answer: For arbitrary numbers 797, 486, 71 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.