Highest Common Factor of 5448, 3643, 91296 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 5448, 3643, 91296 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5448, 3643, 91296 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 5448, 3643, 91296 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 5448, 3643, 91296 is 1.

HCF(5448, 3643, 91296) = 1

HCF of 5448, 3643, 91296 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 5448, 3643, 91296 is 1.

Highest Common Factor of 5448,3643,91296 using Euclid's algorithm

Highest Common Factor of 5448,3643,91296 is 1

Step 1: Since 5448 > 3643, we apply the division lemma to 5448 and 3643, to get

5448 = 3643 x 1 + 1805

Step 2: Since the reminder 3643 ≠ 0, we apply division lemma to 1805 and 3643, to get

3643 = 1805 x 2 + 33

Step 3: We consider the new divisor 1805 and the new remainder 33, and apply the division lemma to get

1805 = 33 x 54 + 23

We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get

33 = 23 x 1 + 10

We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get

23 = 10 x 2 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5448 and 3643 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(1805,33) = HCF(3643,1805) = HCF(5448,3643) .

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

Step 1: Since 91296 > 1, we apply the division lemma to 91296 and 1, to get

91296 = 1 x 91296 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 91296 is 1

Notice that 1 = HCF(91296,1) .

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Frequently Asked Questions on HCF of 5448, 3643, 91296 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 5448, 3643, 91296?

Answer: HCF of 5448, 3643, 91296 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5448, 3643, 91296 using Euclid's Algorithm?

Answer: For arbitrary numbers 5448, 3643, 91296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.