Highest Common Factor of 5421, 9644, 54380 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 5421, 9644, 54380 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5421, 9644, 54380 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 5421, 9644, 54380 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 5421, 9644, 54380 is 1.

HCF(5421, 9644, 54380) = 1

HCF of 5421, 9644, 54380 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 5421, 9644, 54380 is 1.

Highest Common Factor of 5421,9644,54380 using Euclid's algorithm

Highest Common Factor of 5421,9644,54380 is 1

Step 1: Since 9644 > 5421, we apply the division lemma to 9644 and 5421, to get

9644 = 5421 x 1 + 4223

Step 2: Since the reminder 5421 ≠ 0, we apply division lemma to 4223 and 5421, to get

5421 = 4223 x 1 + 1198

Step 3: We consider the new divisor 4223 and the new remainder 1198, and apply the division lemma to get

4223 = 1198 x 3 + 629

We consider the new divisor 1198 and the new remainder 629,and apply the division lemma to get

1198 = 629 x 1 + 569

We consider the new divisor 629 and the new remainder 569,and apply the division lemma to get

629 = 569 x 1 + 60

We consider the new divisor 569 and the new remainder 60,and apply the division lemma to get

569 = 60 x 9 + 29

We consider the new divisor 60 and the new remainder 29,and apply the division lemma to get

60 = 29 x 2 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 5421 and 9644 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(60,29) = HCF(569,60) = HCF(629,569) = HCF(1198,629) = HCF(4223,1198) = HCF(5421,4223) = HCF(9644,5421) .

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

Step 1: Since 54380 > 1, we apply the division lemma to 54380 and 1, to get

54380 = 1 x 54380 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54380 is 1

Notice that 1 = HCF(54380,1) .

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Frequently Asked Questions on HCF of 5421, 9644, 54380 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 5421, 9644, 54380?

Answer: HCF of 5421, 9644, 54380 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5421, 9644, 54380 using Euclid's Algorithm?

Answer: For arbitrary numbers 5421, 9644, 54380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.