Highest Common Factor of 3187, 9103, 37815 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 3187, 9103, 37815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3187, 9103, 37815 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 3187, 9103, 37815 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 3187, 9103, 37815 is 1.

HCF(3187, 9103, 37815) = 1

HCF of 3187, 9103, 37815 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 3187, 9103, 37815 is 1.

Highest Common Factor of 3187,9103,37815 using Euclid's algorithm

Highest Common Factor of 3187,9103,37815 is 1

Step 1: Since 9103 > 3187, we apply the division lemma to 9103 and 3187, to get

9103 = 3187 x 2 + 2729

Step 2: Since the reminder 3187 ≠ 0, we apply division lemma to 2729 and 3187, to get

3187 = 2729 x 1 + 458

Step 3: We consider the new divisor 2729 and the new remainder 458, and apply the division lemma to get

2729 = 458 x 5 + 439

We consider the new divisor 458 and the new remainder 439,and apply the division lemma to get

458 = 439 x 1 + 19

We consider the new divisor 439 and the new remainder 19,and apply the division lemma to get

439 = 19 x 23 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 3187 and 9103 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(439,19) = HCF(458,439) = HCF(2729,458) = HCF(3187,2729) = HCF(9103,3187) .

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

Step 1: Since 37815 > 1, we apply the division lemma to 37815 and 1, to get

37815 = 1 x 37815 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37815 is 1

Notice that 1 = HCF(37815,1) .

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Frequently Asked Questions on HCF of 3187, 9103, 37815 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 3187, 9103, 37815?

Answer: HCF of 3187, 9103, 37815 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3187, 9103, 37815 using Euclid's Algorithm?

Answer: For arbitrary numbers 3187, 9103, 37815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.