Highest Common Factor of 5415, 9325, 41468 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 5415, 9325, 41468 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5415, 9325, 41468 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 5415, 9325, 41468 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 5415, 9325, 41468 is 1.

HCF(5415, 9325, 41468) = 1

HCF of 5415, 9325, 41468 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 5415, 9325, 41468 is 1.

Highest Common Factor of 5415,9325,41468 using Euclid's algorithm

Highest Common Factor of 5415,9325,41468 is 1

Step 1: Since 9325 > 5415, we apply the division lemma to 9325 and 5415, to get

9325 = 5415 x 1 + 3910

Step 2: Since the reminder 5415 ≠ 0, we apply division lemma to 3910 and 5415, to get

5415 = 3910 x 1 + 1505

Step 3: We consider the new divisor 3910 and the new remainder 1505, and apply the division lemma to get

3910 = 1505 x 2 + 900

We consider the new divisor 1505 and the new remainder 900,and apply the division lemma to get

1505 = 900 x 1 + 605

We consider the new divisor 900 and the new remainder 605,and apply the division lemma to get

900 = 605 x 1 + 295

We consider the new divisor 605 and the new remainder 295,and apply the division lemma to get

605 = 295 x 2 + 15

We consider the new divisor 295 and the new remainder 15,and apply the division lemma to get

295 = 15 x 19 + 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 5415 and 9325 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(295,15) = HCF(605,295) = HCF(900,605) = HCF(1505,900) = HCF(3910,1505) = HCF(5415,3910) = HCF(9325,5415) .

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

Step 1: Since 41468 > 5, we apply the division lemma to 41468 and 5, to get

41468 = 5 x 8293 + 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 41468 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(41468,5) .

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Frequently Asked Questions on HCF of 5415, 9325, 41468 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 5415, 9325, 41468?

Answer: HCF of 5415, 9325, 41468 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5415, 9325, 41468 using Euclid's Algorithm?

Answer: For arbitrary numbers 5415, 9325, 41468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.