Highest Common Factor of 3162, 3977 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 3162, 3977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3162, 3977 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 3162, 3977 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 3162, 3977 is 1.

HCF(3162, 3977) = 1

HCF of 3162, 3977 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3162, 3977 is 1.

Highest Common Factor of 3162,3977 using Euclid's algorithm

Highest Common Factor of 3162,3977 is 1

Step 1: Since 3977 > 3162, we apply the division lemma to 3977 and 3162, to get

3977 = 3162 x 1 + 815

Step 2: Since the reminder 3162 ≠ 0, we apply division lemma to 815 and 3162, to get

3162 = 815 x 3 + 717

Step 3: We consider the new divisor 815 and the new remainder 717, and apply the division lemma to get

815 = 717 x 1 + 98

We consider the new divisor 717 and the new remainder 98,and apply the division lemma to get

717 = 98 x 7 + 31

We consider the new divisor 98 and the new remainder 31,and apply the division lemma to get

98 = 31 x 3 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3162 and 3977 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(98,31) = HCF(717,98) = HCF(815,717) = HCF(3162,815) = HCF(3977,3162) .

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Frequently Asked Questions on HCF of 3162, 3977 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 3162, 3977?

Answer: HCF of 3162, 3977 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3162, 3977 using Euclid's Algorithm?

Answer: For arbitrary numbers 3162, 3977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.