Highest Common Factor of 3187, 8115 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, 8115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3187, 8115 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, 8115 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, 8115 is 1.

HCF(3187, 8115) = 1

HCF of 3187, 8115 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, 8115 is 1.

Highest Common Factor of 3187,8115 using Euclid's algorithm

Highest Common Factor of 3187,8115 is 1

Step 1: Since 8115 > 3187, we apply the division lemma to 8115 and 3187, to get

8115 = 3187 x 2 + 1741

Step 2: Since the reminder 3187 ≠ 0, we apply division lemma to 1741 and 3187, to get

3187 = 1741 x 1 + 1446

Step 3: We consider the new divisor 1741 and the new remainder 1446, and apply the division lemma to get

1741 = 1446 x 1 + 295

We consider the new divisor 1446 and the new remainder 295,and apply the division lemma to get

1446 = 295 x 4 + 266

We consider the new divisor 295 and the new remainder 266,and apply the division lemma to get

295 = 266 x 1 + 29

We consider the new divisor 266 and the new remainder 29,and apply the division lemma to get

266 = 29 x 9 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 3187 and 8115 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(266,29) = HCF(295,266) = HCF(1446,295) = HCF(1741,1446) = HCF(3187,1741) = HCF(8115,3187) .

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Frequently Asked Questions on HCF of 3187, 8115 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, 8115?

Answer: HCF of 3187, 8115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3187, 8115 using Euclid's Algorithm?

Answer: For arbitrary numbers 3187, 8115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.