Highest Common Factor of 5042, 2852, 37513 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 5042, 2852, 37513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5042, 2852, 37513 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 5042, 2852, 37513 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 5042, 2852, 37513 is 1.

HCF(5042, 2852, 37513) = 1

HCF of 5042, 2852, 37513 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 5042, 2852, 37513 is 1.

Highest Common Factor of 5042,2852,37513 using Euclid's algorithm

Highest Common Factor of 5042,2852,37513 is 1

Step 1: Since 5042 > 2852, we apply the division lemma to 5042 and 2852, to get

5042 = 2852 x 1 + 2190

Step 2: Since the reminder 2852 ≠ 0, we apply division lemma to 2190 and 2852, to get

2852 = 2190 x 1 + 662

Step 3: We consider the new divisor 2190 and the new remainder 662, and apply the division lemma to get

2190 = 662 x 3 + 204

We consider the new divisor 662 and the new remainder 204,and apply the division lemma to get

662 = 204 x 3 + 50

We consider the new divisor 204 and the new remainder 50,and apply the division lemma to get

204 = 50 x 4 + 4

We consider the new divisor 50 and the new remainder 4,and apply the division lemma to get

50 = 4 x 12 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5042 and 2852 is 2

Notice that 2 = HCF(4,2) = HCF(50,4) = HCF(204,50) = HCF(662,204) = HCF(2190,662) = HCF(2852,2190) = HCF(5042,2852) .

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

Step 1: Since 37513 > 2, we apply the division lemma to 37513 and 2, to get

37513 = 2 x 18756 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 37513 is 1

Notice that 1 = HCF(2,1) = HCF(37513,2) .

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Frequently Asked Questions on HCF of 5042, 2852, 37513 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 5042, 2852, 37513?

Answer: HCF of 5042, 2852, 37513 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5042, 2852, 37513 using Euclid's Algorithm?

Answer: For arbitrary numbers 5042, 2852, 37513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.