Highest Common Factor of 4282, 8451, 57012 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 4282, 8451, 57012 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4282, 8451, 57012 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 4282, 8451, 57012 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 4282, 8451, 57012 is 1.

HCF(4282, 8451, 57012) = 1

HCF of 4282, 8451, 57012 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 4282, 8451, 57012 is 1.

Highest Common Factor of 4282,8451,57012 using Euclid's algorithm

Highest Common Factor of 4282,8451,57012 is 1

Step 1: Since 8451 > 4282, we apply the division lemma to 8451 and 4282, to get

8451 = 4282 x 1 + 4169

Step 2: Since the reminder 4282 ≠ 0, we apply division lemma to 4169 and 4282, to get

4282 = 4169 x 1 + 113

Step 3: We consider the new divisor 4169 and the new remainder 113, and apply the division lemma to get

4169 = 113 x 36 + 101

We consider the new divisor 113 and the new remainder 101,and apply the division lemma to get

113 = 101 x 1 + 12

We consider the new divisor 101 and the new remainder 12,and apply the division lemma to get

101 = 12 x 8 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4282 and 8451 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(101,12) = HCF(113,101) = HCF(4169,113) = HCF(4282,4169) = HCF(8451,4282) .

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

Step 1: Since 57012 > 1, we apply the division lemma to 57012 and 1, to get

57012 = 1 x 57012 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57012 is 1

Notice that 1 = HCF(57012,1) .

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Frequently Asked Questions on HCF of 4282, 8451, 57012 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 4282, 8451, 57012?

Answer: HCF of 4282, 8451, 57012 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4282, 8451, 57012 using Euclid's Algorithm?

Answer: For arbitrary numbers 4282, 8451, 57012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.