Highest Common Factor of 8826, 8317, 60724 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 8826, 8317, 60724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8826, 8317, 60724 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 8826, 8317, 60724 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 8826, 8317, 60724 is 1.

HCF(8826, 8317, 60724) = 1

HCF of 8826, 8317, 60724 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 8826, 8317, 60724 is 1.

Highest Common Factor of 8826,8317,60724 using Euclid's algorithm

Highest Common Factor of 8826,8317,60724 is 1

Step 1: Since 8826 > 8317, we apply the division lemma to 8826 and 8317, to get

8826 = 8317 x 1 + 509

Step 2: Since the reminder 8317 ≠ 0, we apply division lemma to 509 and 8317, to get

8317 = 509 x 16 + 173

Step 3: We consider the new divisor 509 and the new remainder 173, and apply the division lemma to get

509 = 173 x 2 + 163

We consider the new divisor 173 and the new remainder 163,and apply the division lemma to get

173 = 163 x 1 + 10

We consider the new divisor 163 and the new remainder 10,and apply the division lemma to get

163 = 10 x 16 + 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 8826 and 8317 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(163,10) = HCF(173,163) = HCF(509,173) = HCF(8317,509) = HCF(8826,8317) .

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

Step 1: Since 60724 > 1, we apply the division lemma to 60724 and 1, to get

60724 = 1 x 60724 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60724 is 1

Notice that 1 = HCF(60724,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8826, 8317, 60724 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 8826, 8317, 60724?

Answer: HCF of 8826, 8317, 60724 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8826, 8317, 60724 using Euclid's Algorithm?

Answer: For arbitrary numbers 8826, 8317, 60724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.