Highest Common Factor of 2424, 4377, 45767 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 2424, 4377, 45767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2424, 4377, 45767 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 2424, 4377, 45767 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 2424, 4377, 45767 is 1.

HCF(2424, 4377, 45767) = 1

HCF of 2424, 4377, 45767 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 2424, 4377, 45767 is 1.

Highest Common Factor of 2424,4377,45767 using Euclid's algorithm

Highest Common Factor of 2424,4377,45767 is 1

Step 1: Since 4377 > 2424, we apply the division lemma to 4377 and 2424, to get

4377 = 2424 x 1 + 1953

Step 2: Since the reminder 2424 ≠ 0, we apply division lemma to 1953 and 2424, to get

2424 = 1953 x 1 + 471

Step 3: We consider the new divisor 1953 and the new remainder 471, and apply the division lemma to get

1953 = 471 x 4 + 69

We consider the new divisor 471 and the new remainder 69,and apply the division lemma to get

471 = 69 x 6 + 57

We consider the new divisor 69 and the new remainder 57,and apply the division lemma to get

69 = 57 x 1 + 12

We consider the new divisor 57 and the new remainder 12,and apply the division lemma to get

57 = 12 x 4 + 9

We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get

12 = 9 x 1 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2424 and 4377 is 3

Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(57,12) = HCF(69,57) = HCF(471,69) = HCF(1953,471) = HCF(2424,1953) = HCF(4377,2424) .

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

Step 1: Since 45767 > 3, we apply the division lemma to 45767 and 3, to get

45767 = 3 x 15255 + 2

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

3 = 2 x 1 + 1

Step 3: 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 3 and 45767 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(45767,3) .

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Frequently Asked Questions on HCF of 2424, 4377, 45767 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 2424, 4377, 45767?

Answer: HCF of 2424, 4377, 45767 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2424, 4377, 45767 using Euclid's Algorithm?

Answer: For arbitrary numbers 2424, 4377, 45767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.