Highest Common Factor of 832, 8463, 2675 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 832, 8463, 2675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 832, 8463, 2675 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 832, 8463, 2675 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 832, 8463, 2675 is 1.

HCF(832, 8463, 2675) = 1

HCF of 832, 8463, 2675 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 832, 8463, 2675 is 1.

Highest Common Factor of 832,8463,2675 using Euclid's algorithm

Highest Common Factor of 832,8463,2675 is 1

Step 1: Since 8463 > 832, we apply the division lemma to 8463 and 832, to get

8463 = 832 x 10 + 143

Step 2: Since the reminder 832 ≠ 0, we apply division lemma to 143 and 832, to get

832 = 143 x 5 + 117

Step 3: We consider the new divisor 143 and the new remainder 117, and apply the division lemma to get

143 = 117 x 1 + 26

We consider the new divisor 117 and the new remainder 26,and apply the division lemma to get

117 = 26 x 4 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 832 and 8463 is 13

Notice that 13 = HCF(26,13) = HCF(117,26) = HCF(143,117) = HCF(832,143) = HCF(8463,832) .

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

Step 1: Since 2675 > 13, we apply the division lemma to 2675 and 13, to get

2675 = 13 x 205 + 10

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 10 and 13, to get

13 = 10 x 1 + 3

Step 3: We consider the new divisor 10 and the new remainder 3, and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 2675 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(2675,13) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 832, 8463, 2675 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 832, 8463, 2675?

Answer: HCF of 832, 8463, 2675 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 832, 8463, 2675 using Euclid's Algorithm?

Answer: For arbitrary numbers 832, 8463, 2675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.