Highest Common Factor of 2870, 3939, 14172 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 2870, 3939, 14172 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2870, 3939, 14172 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 2870, 3939, 14172 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 2870, 3939, 14172 is 1.

HCF(2870, 3939, 14172) = 1

HCF of 2870, 3939, 14172 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 2870, 3939, 14172 is 1.

Highest Common Factor of 2870,3939,14172 using Euclid's algorithm

Highest Common Factor of 2870,3939,14172 is 1

Step 1: Since 3939 > 2870, we apply the division lemma to 3939 and 2870, to get

3939 = 2870 x 1 + 1069

Step 2: Since the reminder 2870 ≠ 0, we apply division lemma to 1069 and 2870, to get

2870 = 1069 x 2 + 732

Step 3: We consider the new divisor 1069 and the new remainder 732, and apply the division lemma to get

1069 = 732 x 1 + 337

We consider the new divisor 732 and the new remainder 337,and apply the division lemma to get

732 = 337 x 2 + 58

We consider the new divisor 337 and the new remainder 58,and apply the division lemma to get

337 = 58 x 5 + 47

We consider the new divisor 58 and the new remainder 47,and apply the division lemma to get

58 = 47 x 1 + 11

We consider the new divisor 47 and the new remainder 11,and apply the division lemma to get

47 = 11 x 4 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2870 and 3939 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(47,11) = HCF(58,47) = HCF(337,58) = HCF(732,337) = HCF(1069,732) = HCF(2870,1069) = HCF(3939,2870) .

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

Step 1: Since 14172 > 1, we apply the division lemma to 14172 and 1, to get

14172 = 1 x 14172 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14172 is 1

Notice that 1 = HCF(14172,1) .

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Frequently Asked Questions on HCF of 2870, 3939, 14172 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 2870, 3939, 14172?

Answer: HCF of 2870, 3939, 14172 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2870, 3939, 14172 using Euclid's Algorithm?

Answer: For arbitrary numbers 2870, 3939, 14172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.