Highest Common Factor of 4926, 7439, 44431 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 4926, 7439, 44431 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4926, 7439, 44431 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 4926, 7439, 44431 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 4926, 7439, 44431 is 1.

HCF(4926, 7439, 44431) = 1

HCF of 4926, 7439, 44431 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 4926, 7439, 44431 is 1.

Highest Common Factor of 4926,7439,44431 using Euclid's algorithm

Highest Common Factor of 4926,7439,44431 is 1

Step 1: Since 7439 > 4926, we apply the division lemma to 7439 and 4926, to get

7439 = 4926 x 1 + 2513

Step 2: Since the reminder 4926 ≠ 0, we apply division lemma to 2513 and 4926, to get

4926 = 2513 x 1 + 2413

Step 3: We consider the new divisor 2513 and the new remainder 2413, and apply the division lemma to get

2513 = 2413 x 1 + 100

We consider the new divisor 2413 and the new remainder 100,and apply the division lemma to get

2413 = 100 x 24 + 13

We consider the new divisor 100 and the new remainder 13,and apply the division lemma to get

100 = 13 x 7 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 4926 and 7439 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(100,13) = HCF(2413,100) = HCF(2513,2413) = HCF(4926,2513) = HCF(7439,4926) .

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

Step 1: Since 44431 > 1, we apply the division lemma to 44431 and 1, to get

44431 = 1 x 44431 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44431 is 1

Notice that 1 = HCF(44431,1) .

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Frequently Asked Questions on HCF of 4926, 7439, 44431 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 4926, 7439, 44431?

Answer: HCF of 4926, 7439, 44431 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4926, 7439, 44431 using Euclid's Algorithm?

Answer: For arbitrary numbers 4926, 7439, 44431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.