Highest Common Factor of 791, 491, 995 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, 491, 995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 791, 491, 995 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, 491, 995 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, 491, 995 is 1.

HCF(791, 491, 995) = 1

HCF of 791, 491, 995 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, 491, 995 is 1.

Highest Common Factor of 791,491,995 using Euclid's algorithm

Highest Common Factor of 791,491,995 is 1

Step 1: Since 791 > 491, we apply the division lemma to 791 and 491, to get

791 = 491 x 1 + 300

Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 300 and 491, to get

491 = 300 x 1 + 191

Step 3: We consider the new divisor 300 and the new remainder 191, and apply the division lemma to get

300 = 191 x 1 + 109

We consider the new divisor 191 and the new remainder 109,and apply the division lemma to get

191 = 109 x 1 + 82

We consider the new divisor 109 and the new remainder 82,and apply the division lemma to get

109 = 82 x 1 + 27

We consider the new divisor 82 and the new remainder 27,and apply the division lemma to get

82 = 27 x 3 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 491 is 1

Notice that 1 = HCF(27,1) = HCF(82,27) = HCF(109,82) = HCF(191,109) = HCF(300,191) = HCF(491,300) = HCF(791,491) .

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

Step 1: Since 995 > 1, we apply the division lemma to 995 and 1, to get

995 = 1 x 995 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 995 is 1

Notice that 1 = HCF(995,1) .

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Frequently Asked Questions on HCF of 791, 491, 995 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, 491, 995?

Answer: HCF of 791, 491, 995 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 791, 491, 995 using Euclid's Algorithm?

Answer: For arbitrary numbers 791, 491, 995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.