Highest Common Factor of 9032, 6521, 41450 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 9032, 6521, 41450 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9032, 6521, 41450 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 9032, 6521, 41450 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 9032, 6521, 41450 is 1.

HCF(9032, 6521, 41450) = 1

HCF of 9032, 6521, 41450 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 9032, 6521, 41450 is 1.

Highest Common Factor of 9032,6521,41450 using Euclid's algorithm

Highest Common Factor of 9032,6521,41450 is 1

Step 1: Since 9032 > 6521, we apply the division lemma to 9032 and 6521, to get

9032 = 6521 x 1 + 2511

Step 2: Since the reminder 6521 ≠ 0, we apply division lemma to 2511 and 6521, to get

6521 = 2511 x 2 + 1499

Step 3: We consider the new divisor 2511 and the new remainder 1499, and apply the division lemma to get

2511 = 1499 x 1 + 1012

We consider the new divisor 1499 and the new remainder 1012,and apply the division lemma to get

1499 = 1012 x 1 + 487

We consider the new divisor 1012 and the new remainder 487,and apply the division lemma to get

1012 = 487 x 2 + 38

We consider the new divisor 487 and the new remainder 38,and apply the division lemma to get

487 = 38 x 12 + 31

We consider the new divisor 38 and the new remainder 31,and apply the division lemma to get

38 = 31 x 1 + 7

We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get

31 = 7 x 4 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9032 and 6521 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(38,31) = HCF(487,38) = HCF(1012,487) = HCF(1499,1012) = HCF(2511,1499) = HCF(6521,2511) = HCF(9032,6521) .

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

Step 1: Since 41450 > 1, we apply the division lemma to 41450 and 1, to get

41450 = 1 x 41450 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41450 is 1

Notice that 1 = HCF(41450,1) .

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Frequently Asked Questions on HCF of 9032, 6521, 41450 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 9032, 6521, 41450?

Answer: HCF of 9032, 6521, 41450 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9032, 6521, 41450 using Euclid's Algorithm?

Answer: For arbitrary numbers 9032, 6521, 41450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.