Highest Common Factor of 3932, 2741, 60398 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 3932, 2741, 60398 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3932, 2741, 60398 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 3932, 2741, 60398 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 3932, 2741, 60398 is 1.

HCF(3932, 2741, 60398) = 1

HCF of 3932, 2741, 60398 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 3932, 2741, 60398 is 1.

Highest Common Factor of 3932,2741,60398 using Euclid's algorithm

Highest Common Factor of 3932,2741,60398 is 1

Step 1: Since 3932 > 2741, we apply the division lemma to 3932 and 2741, to get

3932 = 2741 x 1 + 1191

Step 2: Since the reminder 2741 ≠ 0, we apply division lemma to 1191 and 2741, to get

2741 = 1191 x 2 + 359

Step 3: We consider the new divisor 1191 and the new remainder 359, and apply the division lemma to get

1191 = 359 x 3 + 114

We consider the new divisor 359 and the new remainder 114,and apply the division lemma to get

359 = 114 x 3 + 17

We consider the new divisor 114 and the new remainder 17,and apply the division lemma to get

114 = 17 x 6 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3932 and 2741 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(114,17) = HCF(359,114) = HCF(1191,359) = HCF(2741,1191) = HCF(3932,2741) .

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

Step 1: Since 60398 > 1, we apply the division lemma to 60398 and 1, to get

60398 = 1 x 60398 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60398 is 1

Notice that 1 = HCF(60398,1) .

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Frequently Asked Questions on HCF of 3932, 2741, 60398 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 3932, 2741, 60398?

Answer: HCF of 3932, 2741, 60398 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3932, 2741, 60398 using Euclid's Algorithm?

Answer: For arbitrary numbers 3932, 2741, 60398 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.