Highest Common Factor of 7815, 9725, 40726 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 7815, 9725, 40726 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7815, 9725, 40726 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 7815, 9725, 40726 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 7815, 9725, 40726 is 1.

HCF(7815, 9725, 40726) = 1

HCF of 7815, 9725, 40726 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 7815, 9725, 40726 is 1.

Highest Common Factor of 7815,9725,40726 using Euclid's algorithm

Highest Common Factor of 7815,9725,40726 is 1

Step 1: Since 9725 > 7815, we apply the division lemma to 9725 and 7815, to get

9725 = 7815 x 1 + 1910

Step 2: Since the reminder 7815 ≠ 0, we apply division lemma to 1910 and 7815, to get

7815 = 1910 x 4 + 175

Step 3: We consider the new divisor 1910 and the new remainder 175, and apply the division lemma to get

1910 = 175 x 10 + 160

We consider the new divisor 175 and the new remainder 160,and apply the division lemma to get

175 = 160 x 1 + 15

We consider the new divisor 160 and the new remainder 15,and apply the division lemma to get

160 = 15 x 10 + 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 7815 and 9725 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(160,15) = HCF(175,160) = HCF(1910,175) = HCF(7815,1910) = HCF(9725,7815) .

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

Step 1: Since 40726 > 5, we apply the division lemma to 40726 and 5, to get

40726 = 5 x 8145 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 40726 is 1

Notice that 1 = HCF(5,1) = HCF(40726,5) .

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Frequently Asked Questions on HCF of 7815, 9725, 40726 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 7815, 9725, 40726?

Answer: HCF of 7815, 9725, 40726 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7815, 9725, 40726 using Euclid's Algorithm?

Answer: For arbitrary numbers 7815, 9725, 40726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.