Highest Common Factor of 2425, 4430, 30624 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 2425, 4430, 30624 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2425, 4430, 30624 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 2425, 4430, 30624 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 2425, 4430, 30624 is 1.

HCF(2425, 4430, 30624) = 1

HCF of 2425, 4430, 30624 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 2425, 4430, 30624 is 1.

Highest Common Factor of 2425,4430,30624 using Euclid's algorithm

Highest Common Factor of 2425,4430,30624 is 1

Step 1: Since 4430 > 2425, we apply the division lemma to 4430 and 2425, to get

4430 = 2425 x 1 + 2005

Step 2: Since the reminder 2425 ≠ 0, we apply division lemma to 2005 and 2425, to get

2425 = 2005 x 1 + 420

Step 3: We consider the new divisor 2005 and the new remainder 420, and apply the division lemma to get

2005 = 420 x 4 + 325

We consider the new divisor 420 and the new remainder 325,and apply the division lemma to get

420 = 325 x 1 + 95

We consider the new divisor 325 and the new remainder 95,and apply the division lemma to get

325 = 95 x 3 + 40

We consider the new divisor 95 and the new remainder 40,and apply the division lemma to get

95 = 40 x 2 + 15

We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get

40 = 15 x 2 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2425 and 4430 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(95,40) = HCF(325,95) = HCF(420,325) = HCF(2005,420) = HCF(2425,2005) = HCF(4430,2425) .

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

Step 1: Since 30624 > 5, we apply the division lemma to 30624 and 5, to get

30624 = 5 x 6124 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 30624 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(30624,5) .

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Frequently Asked Questions on HCF of 2425, 4430, 30624 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 2425, 4430, 30624?

Answer: HCF of 2425, 4430, 30624 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2425, 4430, 30624 using Euclid's Algorithm?

Answer: For arbitrary numbers 2425, 4430, 30624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.