Highest Common Factor of 2977, 2531, 79977 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 2977, 2531, 79977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2977, 2531, 79977 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 2977, 2531, 79977 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 2977, 2531, 79977 is 1.

HCF(2977, 2531, 79977) = 1

HCF of 2977, 2531, 79977 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 2977, 2531, 79977 is 1.

Highest Common Factor of 2977,2531,79977 using Euclid's algorithm

Highest Common Factor of 2977,2531,79977 is 1

Step 1: Since 2977 > 2531, we apply the division lemma to 2977 and 2531, to get

2977 = 2531 x 1 + 446

Step 2: Since the reminder 2531 ≠ 0, we apply division lemma to 446 and 2531, to get

2531 = 446 x 5 + 301

Step 3: We consider the new divisor 446 and the new remainder 301, and apply the division lemma to get

446 = 301 x 1 + 145

We consider the new divisor 301 and the new remainder 145,and apply the division lemma to get

301 = 145 x 2 + 11

We consider the new divisor 145 and the new remainder 11,and apply the division lemma to get

145 = 11 x 13 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2977 and 2531 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(145,11) = HCF(301,145) = HCF(446,301) = HCF(2531,446) = HCF(2977,2531) .

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

Step 1: Since 79977 > 1, we apply the division lemma to 79977 and 1, to get

79977 = 1 x 79977 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79977 is 1

Notice that 1 = HCF(79977,1) .

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Frequently Asked Questions on HCF of 2977, 2531, 79977 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 2977, 2531, 79977?

Answer: HCF of 2977, 2531, 79977 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2977, 2531, 79977 using Euclid's Algorithm?

Answer: For arbitrary numbers 2977, 2531, 79977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.