Highest Common Factor of 491, 766, 987 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 491, 766, 987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 491, 766, 987 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 491, 766, 987 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 491, 766, 987 is 1.

HCF(491, 766, 987) = 1

HCF of 491, 766, 987 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 491, 766, 987 is 1.

Highest Common Factor of 491,766,987 using Euclid's algorithm

Highest Common Factor of 491,766,987 is 1

Step 1: Since 766 > 491, we apply the division lemma to 766 and 491, to get

766 = 491 x 1 + 275

Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 275 and 491, to get

491 = 275 x 1 + 216

Step 3: We consider the new divisor 275 and the new remainder 216, and apply the division lemma to get

275 = 216 x 1 + 59

We consider the new divisor 216 and the new remainder 59,and apply the division lemma to get

216 = 59 x 3 + 39

We consider the new divisor 59 and the new remainder 39,and apply the division lemma to get

59 = 39 x 1 + 20

We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get

39 = 20 x 1 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 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 491 and 766 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(59,39) = HCF(216,59) = HCF(275,216) = HCF(491,275) = HCF(766,491) .

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

Step 1: Since 987 > 1, we apply the division lemma to 987 and 1, to get

987 = 1 x 987 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 987 is 1

Notice that 1 = HCF(987,1) .

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Frequently Asked Questions on HCF of 491, 766, 987 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 491, 766, 987?

Answer: HCF of 491, 766, 987 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 491, 766, 987 using Euclid's Algorithm?

Answer: For arbitrary numbers 491, 766, 987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.