Highest Common Factor of 8425, 2969, 95146 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 8425, 2969, 95146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8425, 2969, 95146 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 8425, 2969, 95146 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 8425, 2969, 95146 is 1.

HCF(8425, 2969, 95146) = 1

HCF of 8425, 2969, 95146 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 8425, 2969, 95146 is 1.

Highest Common Factor of 8425,2969,95146 using Euclid's algorithm

Highest Common Factor of 8425,2969,95146 is 1

Step 1: Since 8425 > 2969, we apply the division lemma to 8425 and 2969, to get

8425 = 2969 x 2 + 2487

Step 2: Since the reminder 2969 ≠ 0, we apply division lemma to 2487 and 2969, to get

2969 = 2487 x 1 + 482

Step 3: We consider the new divisor 2487 and the new remainder 482, and apply the division lemma to get

2487 = 482 x 5 + 77

We consider the new divisor 482 and the new remainder 77,and apply the division lemma to get

482 = 77 x 6 + 20

We consider the new divisor 77 and the new remainder 20,and apply the division lemma to get

77 = 20 x 3 + 17

We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get

20 = 17 x 1 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8425 and 2969 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(77,20) = HCF(482,77) = HCF(2487,482) = HCF(2969,2487) = HCF(8425,2969) .

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

Step 1: Since 95146 > 1, we apply the division lemma to 95146 and 1, to get

95146 = 1 x 95146 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95146 is 1

Notice that 1 = HCF(95146,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8425, 2969, 95146 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 8425, 2969, 95146?

Answer: HCF of 8425, 2969, 95146 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8425, 2969, 95146 using Euclid's Algorithm?

Answer: For arbitrary numbers 8425, 2969, 95146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.