Highest Common Factor of 3977, 9385 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 3977, 9385 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3977, 9385 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 3977, 9385 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 3977, 9385 is 1.

HCF(3977, 9385) = 1

HCF of 3977, 9385 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 3977, 9385 is 1.

Highest Common Factor of 3977,9385 using Euclid's algorithm

Highest Common Factor of 3977,9385 is 1

Step 1: Since 9385 > 3977, we apply the division lemma to 9385 and 3977, to get

9385 = 3977 x 2 + 1431

Step 2: Since the reminder 3977 ≠ 0, we apply division lemma to 1431 and 3977, to get

3977 = 1431 x 2 + 1115

Step 3: We consider the new divisor 1431 and the new remainder 1115, and apply the division lemma to get

1431 = 1115 x 1 + 316

We consider the new divisor 1115 and the new remainder 316,and apply the division lemma to get

1115 = 316 x 3 + 167

We consider the new divisor 316 and the new remainder 167,and apply the division lemma to get

316 = 167 x 1 + 149

We consider the new divisor 167 and the new remainder 149,and apply the division lemma to get

167 = 149 x 1 + 18

We consider the new divisor 149 and the new remainder 18,and apply the division lemma to get

149 = 18 x 8 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3977 and 9385 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(149,18) = HCF(167,149) = HCF(316,167) = HCF(1115,316) = HCF(1431,1115) = HCF(3977,1431) = HCF(9385,3977) .

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Frequently Asked Questions on HCF of 3977, 9385 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 3977, 9385?

Answer: HCF of 3977, 9385 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3977, 9385 using Euclid's Algorithm?

Answer: For arbitrary numbers 3977, 9385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.