Highest Common Factor of 9032, 5135, 63726 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, 5135, 63726 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9032, 5135, 63726 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, 5135, 63726 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, 5135, 63726 is 1.

HCF(9032, 5135, 63726) = 1

HCF of 9032, 5135, 63726 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, 5135, 63726 is 1.

Highest Common Factor of 9032,5135,63726 using Euclid's algorithm

Highest Common Factor of 9032,5135,63726 is 1

Step 1: Since 9032 > 5135, we apply the division lemma to 9032 and 5135, to get

9032 = 5135 x 1 + 3897

Step 2: Since the reminder 5135 ≠ 0, we apply division lemma to 3897 and 5135, to get

5135 = 3897 x 1 + 1238

Step 3: We consider the new divisor 3897 and the new remainder 1238, and apply the division lemma to get

3897 = 1238 x 3 + 183

We consider the new divisor 1238 and the new remainder 183,and apply the division lemma to get

1238 = 183 x 6 + 140

We consider the new divisor 183 and the new remainder 140,and apply the division lemma to get

183 = 140 x 1 + 43

We consider the new divisor 140 and the new remainder 43,and apply the division lemma to get

140 = 43 x 3 + 11

We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get

43 = 11 x 3 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9032 and 5135 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(140,43) = HCF(183,140) = HCF(1238,183) = HCF(3897,1238) = HCF(5135,3897) = HCF(9032,5135) .

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

Step 1: Since 63726 > 1, we apply the division lemma to 63726 and 1, to get

63726 = 1 x 63726 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63726 is 1

Notice that 1 = HCF(63726,1) .

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Frequently Asked Questions on HCF of 9032, 5135, 63726 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, 5135, 63726?

Answer: HCF of 9032, 5135, 63726 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9032, 5135, 63726 using Euclid's Algorithm?

Answer: For arbitrary numbers 9032, 5135, 63726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.