Highest Common Factor of 8928, 3629, 60136 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 8928, 3629, 60136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8928, 3629, 60136 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 8928, 3629, 60136 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 8928, 3629, 60136 is 1.

HCF(8928, 3629, 60136) = 1

HCF of 8928, 3629, 60136 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 8928, 3629, 60136 is 1.

Highest Common Factor of 8928,3629,60136 using Euclid's algorithm

Highest Common Factor of 8928,3629,60136 is 1

Step 1: Since 8928 > 3629, we apply the division lemma to 8928 and 3629, to get

8928 = 3629 x 2 + 1670

Step 2: Since the reminder 3629 ≠ 0, we apply division lemma to 1670 and 3629, to get

3629 = 1670 x 2 + 289

Step 3: We consider the new divisor 1670 and the new remainder 289, and apply the division lemma to get

1670 = 289 x 5 + 225

We consider the new divisor 289 and the new remainder 225,and apply the division lemma to get

289 = 225 x 1 + 64

We consider the new divisor 225 and the new remainder 64,and apply the division lemma to get

225 = 64 x 3 + 33

We consider the new divisor 64 and the new remainder 33,and apply the division lemma to get

64 = 33 x 1 + 31

We consider the new divisor 33 and the new remainder 31,and apply the division lemma to get

33 = 31 x 1 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 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 8928 and 3629 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(64,33) = HCF(225,64) = HCF(289,225) = HCF(1670,289) = HCF(3629,1670) = HCF(8928,3629) .

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

Step 1: Since 60136 > 1, we apply the division lemma to 60136 and 1, to get

60136 = 1 x 60136 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60136 is 1

Notice that 1 = HCF(60136,1) .

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Frequently Asked Questions on HCF of 8928, 3629, 60136 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 8928, 3629, 60136?

Answer: HCF of 8928, 3629, 60136 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8928, 3629, 60136 using Euclid's Algorithm?

Answer: For arbitrary numbers 8928, 3629, 60136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.