Highest Common Factor of 4923, 8457, 43726 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 4923, 8457, 43726 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4923, 8457, 43726 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 4923, 8457, 43726 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 4923, 8457, 43726 is 1.

HCF(4923, 8457, 43726) = 1

HCF of 4923, 8457, 43726 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 4923, 8457, 43726 is 1.

Highest Common Factor of 4923,8457,43726 using Euclid's algorithm

Highest Common Factor of 4923,8457,43726 is 1

Step 1: Since 8457 > 4923, we apply the division lemma to 8457 and 4923, to get

8457 = 4923 x 1 + 3534

Step 2: Since the reminder 4923 ≠ 0, we apply division lemma to 3534 and 4923, to get

4923 = 3534 x 1 + 1389

Step 3: We consider the new divisor 3534 and the new remainder 1389, and apply the division lemma to get

3534 = 1389 x 2 + 756

We consider the new divisor 1389 and the new remainder 756,and apply the division lemma to get

1389 = 756 x 1 + 633

We consider the new divisor 756 and the new remainder 633,and apply the division lemma to get

756 = 633 x 1 + 123

We consider the new divisor 633 and the new remainder 123,and apply the division lemma to get

633 = 123 x 5 + 18

We consider the new divisor 123 and the new remainder 18,and apply the division lemma to get

123 = 18 x 6 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4923 and 8457 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(123,18) = HCF(633,123) = HCF(756,633) = HCF(1389,756) = HCF(3534,1389) = HCF(4923,3534) = HCF(8457,4923) .

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

Step 1: Since 43726 > 3, we apply the division lemma to 43726 and 3, to get

43726 = 3 x 14575 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 43726 is 1

Notice that 1 = HCF(3,1) = HCF(43726,3) .

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Frequently Asked Questions on HCF of 4923, 8457, 43726 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 4923, 8457, 43726?

Answer: HCF of 4923, 8457, 43726 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4923, 8457, 43726 using Euclid's Algorithm?

Answer: For arbitrary numbers 4923, 8457, 43726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.