Highest Common Factor of 5111, 6290, 36372 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 5111, 6290, 36372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5111, 6290, 36372 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 5111, 6290, 36372 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 5111, 6290, 36372 is 1.

HCF(5111, 6290, 36372) = 1

HCF of 5111, 6290, 36372 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 5111, 6290, 36372 is 1.

Highest Common Factor of 5111,6290,36372 using Euclid's algorithm

Highest Common Factor of 5111,6290,36372 is 1

Step 1: Since 6290 > 5111, we apply the division lemma to 6290 and 5111, to get

6290 = 5111 x 1 + 1179

Step 2: Since the reminder 5111 ≠ 0, we apply division lemma to 1179 and 5111, to get

5111 = 1179 x 4 + 395

Step 3: We consider the new divisor 1179 and the new remainder 395, and apply the division lemma to get

1179 = 395 x 2 + 389

We consider the new divisor 395 and the new remainder 389,and apply the division lemma to get

395 = 389 x 1 + 6

We consider the new divisor 389 and the new remainder 6,and apply the division lemma to get

389 = 6 x 64 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5111 and 6290 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(389,6) = HCF(395,389) = HCF(1179,395) = HCF(5111,1179) = HCF(6290,5111) .

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

Step 1: Since 36372 > 1, we apply the division lemma to 36372 and 1, to get

36372 = 1 x 36372 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36372 is 1

Notice that 1 = HCF(36372,1) .

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Frequently Asked Questions on HCF of 5111, 6290, 36372 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 5111, 6290, 36372?

Answer: HCF of 5111, 6290, 36372 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5111, 6290, 36372 using Euclid's Algorithm?

Answer: For arbitrary numbers 5111, 6290, 36372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.