Highest Common Factor of 5733, 5374, 24329 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 5733, 5374, 24329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5733, 5374, 24329 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 5733, 5374, 24329 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 5733, 5374, 24329 is 1.

HCF(5733, 5374, 24329) = 1

HCF of 5733, 5374, 24329 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 5733, 5374, 24329 is 1.

Highest Common Factor of 5733,5374,24329 using Euclid's algorithm

Highest Common Factor of 5733,5374,24329 is 1

Step 1: Since 5733 > 5374, we apply the division lemma to 5733 and 5374, to get

5733 = 5374 x 1 + 359

Step 2: Since the reminder 5374 ≠ 0, we apply division lemma to 359 and 5374, to get

5374 = 359 x 14 + 348

Step 3: We consider the new divisor 359 and the new remainder 348, and apply the division lemma to get

359 = 348 x 1 + 11

We consider the new divisor 348 and the new remainder 11,and apply the division lemma to get

348 = 11 x 31 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

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

4 = 3 x 1 + 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 5733 and 5374 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(348,11) = HCF(359,348) = HCF(5374,359) = HCF(5733,5374) .

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

Step 1: Since 24329 > 1, we apply the division lemma to 24329 and 1, to get

24329 = 1 x 24329 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24329 is 1

Notice that 1 = HCF(24329,1) .

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Frequently Asked Questions on HCF of 5733, 5374, 24329 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 5733, 5374, 24329?

Answer: HCF of 5733, 5374, 24329 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5733, 5374, 24329 using Euclid's Algorithm?

Answer: For arbitrary numbers 5733, 5374, 24329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.