Highest Common Factor of 5643, 7581, 58022 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 5643, 7581, 58022 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5643, 7581, 58022 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 5643, 7581, 58022 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 5643, 7581, 58022 is 1.

HCF(5643, 7581, 58022) = 1

HCF of 5643, 7581, 58022 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 5643, 7581, 58022 is 1.

Highest Common Factor of 5643,7581,58022 using Euclid's algorithm

Highest Common Factor of 5643,7581,58022 is 1

Step 1: Since 7581 > 5643, we apply the division lemma to 7581 and 5643, to get

7581 = 5643 x 1 + 1938

Step 2: Since the reminder 5643 ≠ 0, we apply division lemma to 1938 and 5643, to get

5643 = 1938 x 2 + 1767

Step 3: We consider the new divisor 1938 and the new remainder 1767, and apply the division lemma to get

1938 = 1767 x 1 + 171

We consider the new divisor 1767 and the new remainder 171,and apply the division lemma to get

1767 = 171 x 10 + 57

We consider the new divisor 171 and the new remainder 57,and apply the division lemma to get

171 = 57 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 5643 and 7581 is 57

Notice that 57 = HCF(171,57) = HCF(1767,171) = HCF(1938,1767) = HCF(5643,1938) = HCF(7581,5643) .

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

Step 1: Since 58022 > 57, we apply the division lemma to 58022 and 57, to get

58022 = 57 x 1017 + 53

Step 2: Since the reminder 57 ≠ 0, we apply division lemma to 53 and 57, to get

57 = 53 x 1 + 4

Step 3: We consider the new divisor 53 and the new remainder 4, and apply the division lemma to get

53 = 4 x 13 + 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 57 and 58022 is 1

Notice that 1 = HCF(4,1) = HCF(53,4) = HCF(57,53) = HCF(58022,57) .

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Frequently Asked Questions on HCF of 5643, 7581, 58022 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 5643, 7581, 58022?

Answer: HCF of 5643, 7581, 58022 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5643, 7581, 58022 using Euclid's Algorithm?

Answer: For arbitrary numbers 5643, 7581, 58022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.