Highest Common Factor of 8296, 6062, 42654 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 8296, 6062, 42654 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 8296, 6062, 42654 is 2 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 8296, 6062, 42654 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 8296, 6062, 42654 is 2.

HCF(8296, 6062, 42654) = 2

HCF of 8296, 6062, 42654 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 8296, 6062, 42654 is 2.

Highest Common Factor of 8296,6062,42654 using Euclid's algorithm

Highest Common Factor of 8296,6062,42654 is 2

Step 1: Since 8296 > 6062, we apply the division lemma to 8296 and 6062, to get

8296 = 6062 x 1 + 2234

Step 2: Since the reminder 6062 ≠ 0, we apply division lemma to 2234 and 6062, to get

6062 = 2234 x 2 + 1594

Step 3: We consider the new divisor 2234 and the new remainder 1594, and apply the division lemma to get

2234 = 1594 x 1 + 640

We consider the new divisor 1594 and the new remainder 640,and apply the division lemma to get

1594 = 640 x 2 + 314

We consider the new divisor 640 and the new remainder 314,and apply the division lemma to get

640 = 314 x 2 + 12

We consider the new divisor 314 and the new remainder 12,and apply the division lemma to get

314 = 12 x 26 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8296 and 6062 is 2

Notice that 2 = HCF(12,2) = HCF(314,12) = HCF(640,314) = HCF(1594,640) = HCF(2234,1594) = HCF(6062,2234) = HCF(8296,6062) .

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

Step 1: Since 42654 > 2, we apply the division lemma to 42654 and 2, to get

42654 = 2 x 21327 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 42654 is 2

Notice that 2 = HCF(42654,2) .

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Frequently Asked Questions on HCF of 8296, 6062, 42654 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 8296, 6062, 42654?

Answer: HCF of 8296, 6062, 42654 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8296, 6062, 42654 using Euclid's Algorithm?

Answer: For arbitrary numbers 8296, 6062, 42654 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.