Highest Common Factor of 5342, 9651, 23243 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 5342, 9651, 23243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5342, 9651, 23243 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 5342, 9651, 23243 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 5342, 9651, 23243 is 1.

HCF(5342, 9651, 23243) = 1

HCF of 5342, 9651, 23243 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 5342, 9651, 23243 is 1.

Highest Common Factor of 5342,9651,23243 using Euclid's algorithm

Highest Common Factor of 5342,9651,23243 is 1

Step 1: Since 9651 > 5342, we apply the division lemma to 9651 and 5342, to get

9651 = 5342 x 1 + 4309

Step 2: Since the reminder 5342 ≠ 0, we apply division lemma to 4309 and 5342, to get

5342 = 4309 x 1 + 1033

Step 3: We consider the new divisor 4309 and the new remainder 1033, and apply the division lemma to get

4309 = 1033 x 4 + 177

We consider the new divisor 1033 and the new remainder 177,and apply the division lemma to get

1033 = 177 x 5 + 148

We consider the new divisor 177 and the new remainder 148,and apply the division lemma to get

177 = 148 x 1 + 29

We consider the new divisor 148 and the new remainder 29,and apply the division lemma to get

148 = 29 x 5 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5342 and 9651 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(148,29) = HCF(177,148) = HCF(1033,177) = HCF(4309,1033) = HCF(5342,4309) = HCF(9651,5342) .

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

Step 1: Since 23243 > 1, we apply the division lemma to 23243 and 1, to get

23243 = 1 x 23243 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23243 is 1

Notice that 1 = HCF(23243,1) .

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Frequently Asked Questions on HCF of 5342, 9651, 23243 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 5342, 9651, 23243?

Answer: HCF of 5342, 9651, 23243 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5342, 9651, 23243 using Euclid's Algorithm?

Answer: For arbitrary numbers 5342, 9651, 23243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.