Highest Common Factor of 7265, 7450, 24508 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 7265, 7450, 24508 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7265, 7450, 24508 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 7265, 7450, 24508 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 7265, 7450, 24508 is 1.

HCF(7265, 7450, 24508) = 1

HCF of 7265, 7450, 24508 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 7265, 7450, 24508 is 1.

Highest Common Factor of 7265,7450,24508 using Euclid's algorithm

Highest Common Factor of 7265,7450,24508 is 1

Step 1: Since 7450 > 7265, we apply the division lemma to 7450 and 7265, to get

7450 = 7265 x 1 + 185

Step 2: Since the reminder 7265 ≠ 0, we apply division lemma to 185 and 7265, to get

7265 = 185 x 39 + 50

Step 3: We consider the new divisor 185 and the new remainder 50, and apply the division lemma to get

185 = 50 x 3 + 35

We consider the new divisor 50 and the new remainder 35,and apply the division lemma to get

50 = 35 x 1 + 15

We consider the new divisor 35 and the new remainder 15,and apply the division lemma to get

35 = 15 x 2 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7265 and 7450 is 5

Notice that 5 = HCF(15,5) = HCF(35,15) = HCF(50,35) = HCF(185,50) = HCF(7265,185) = HCF(7450,7265) .

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

Step 1: Since 24508 > 5, we apply the division lemma to 24508 and 5, to get

24508 = 5 x 4901 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 1

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 5 and 24508 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(24508,5) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7265, 7450, 24508 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 7265, 7450, 24508?

Answer: HCF of 7265, 7450, 24508 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7265, 7450, 24508 using Euclid's Algorithm?

Answer: For arbitrary numbers 7265, 7450, 24508 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.