Highest Common Factor of 379, 2487, 3353 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 379, 2487, 3353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 379, 2487, 3353 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 379, 2487, 3353 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 379, 2487, 3353 is 1.

HCF(379, 2487, 3353) = 1

HCF of 379, 2487, 3353 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 379, 2487, 3353 is 1.

Highest Common Factor of 379,2487,3353 using Euclid's algorithm

Highest Common Factor of 379,2487,3353 is 1

Step 1: Since 2487 > 379, we apply the division lemma to 2487 and 379, to get

2487 = 379 x 6 + 213

Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 213 and 379, to get

379 = 213 x 1 + 166

Step 3: We consider the new divisor 213 and the new remainder 166, and apply the division lemma to get

213 = 166 x 1 + 47

We consider the new divisor 166 and the new remainder 47,and apply the division lemma to get

166 = 47 x 3 + 25

We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get

47 = 25 x 1 + 22

We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get

25 = 22 x 1 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 379 and 2487 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(166,47) = HCF(213,166) = HCF(379,213) = HCF(2487,379) .

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

Step 1: Since 3353 > 1, we apply the division lemma to 3353 and 1, to get

3353 = 1 x 3353 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3353 is 1

Notice that 1 = HCF(3353,1) .

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Frequently Asked Questions on HCF of 379, 2487, 3353 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 379, 2487, 3353?

Answer: HCF of 379, 2487, 3353 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 379, 2487, 3353 using Euclid's Algorithm?

Answer: For arbitrary numbers 379, 2487, 3353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.