Highest Common Factor of 3137, 1363, 30115 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 3137, 1363, 30115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3137, 1363, 30115 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 3137, 1363, 30115 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 3137, 1363, 30115 is 1.

HCF(3137, 1363, 30115) = 1

HCF of 3137, 1363, 30115 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 3137, 1363, 30115 is 1.

Highest Common Factor of 3137,1363,30115 using Euclid's algorithm

Highest Common Factor of 3137,1363,30115 is 1

Step 1: Since 3137 > 1363, we apply the division lemma to 3137 and 1363, to get

3137 = 1363 x 2 + 411

Step 2: Since the reminder 1363 ≠ 0, we apply division lemma to 411 and 1363, to get

1363 = 411 x 3 + 130

Step 3: We consider the new divisor 411 and the new remainder 130, and apply the division lemma to get

411 = 130 x 3 + 21

We consider the new divisor 130 and the new remainder 21,and apply the division lemma to get

130 = 21 x 6 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3137 and 1363 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(130,21) = HCF(411,130) = HCF(1363,411) = HCF(3137,1363) .

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

Step 1: Since 30115 > 1, we apply the division lemma to 30115 and 1, to get

30115 = 1 x 30115 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30115 is 1

Notice that 1 = HCF(30115,1) .

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Frequently Asked Questions on HCF of 3137, 1363, 30115 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 3137, 1363, 30115?

Answer: HCF of 3137, 1363, 30115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3137, 1363, 30115 using Euclid's Algorithm?

Answer: For arbitrary numbers 3137, 1363, 30115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.