Highest Common Factor of 4392, 4053, 51501 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 4392, 4053, 51501 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 4392, 4053, 51501 is 3 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 4392, 4053, 51501 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 4392, 4053, 51501 is 3.

HCF(4392, 4053, 51501) = 3

HCF of 4392, 4053, 51501 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 4392, 4053, 51501 is 3.

Highest Common Factor of 4392,4053,51501 using Euclid's algorithm

Highest Common Factor of 4392,4053,51501 is 3

Step 1: Since 4392 > 4053, we apply the division lemma to 4392 and 4053, to get

4392 = 4053 x 1 + 339

Step 2: Since the reminder 4053 ≠ 0, we apply division lemma to 339 and 4053, to get

4053 = 339 x 11 + 324

Step 3: We consider the new divisor 339 and the new remainder 324, and apply the division lemma to get

339 = 324 x 1 + 15

We consider the new divisor 324 and the new remainder 15,and apply the division lemma to get

324 = 15 x 21 + 9

We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get

15 = 9 x 1 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4392 and 4053 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(324,15) = HCF(339,324) = HCF(4053,339) = HCF(4392,4053) .

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

Step 1: Since 51501 > 3, we apply the division lemma to 51501 and 3, to get

51501 = 3 x 17167 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 51501 is 3

Notice that 3 = HCF(51501,3) .

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Frequently Asked Questions on HCF of 4392, 4053, 51501 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 4392, 4053, 51501?

Answer: HCF of 4392, 4053, 51501 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4392, 4053, 51501 using Euclid's Algorithm?

Answer: For arbitrary numbers 4392, 4053, 51501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.