Highest Common Factor of 810, 977, 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 810, 977, 987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 810, 977, 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 810, 977, 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 810, 977, 987 is 1.

HCF(810, 977, 987) = 1

HCF of 810, 977, 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 810, 977, 987 is 1.

Highest Common Factor of 810,977,987 using Euclid's algorithm

Highest Common Factor of 810,977,987 is 1

Step 1: Since 977 > 810, we apply the division lemma to 977 and 810, to get

977 = 810 x 1 + 167

Step 2: Since the reminder 810 ≠ 0, we apply division lemma to 167 and 810, to get

810 = 167 x 4 + 142

Step 3: We consider the new divisor 167 and the new remainder 142, and apply the division lemma to get

167 = 142 x 1 + 25

We consider the new divisor 142 and the new remainder 25,and apply the division lemma to get

142 = 25 x 5 + 17

We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get

25 = 17 x 1 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 810 and 977 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(142,25) = HCF(167,142) = HCF(810,167) = HCF(977,810) .

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 810, 977, 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 810, 977, 987?

Answer: HCF of 810, 977, 987 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 810, 977, 987 using Euclid's Algorithm?

Answer: For arbitrary numbers 810, 977, 987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.