Highest Common Factor of 886, 7646, 8330 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 886, 7646, 8330 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 886, 7646, 8330 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 886, 7646, 8330 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 886, 7646, 8330 is 2.

HCF(886, 7646, 8330) = 2

HCF of 886, 7646, 8330 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 886, 7646, 8330 is 2.

Highest Common Factor of 886,7646,8330 using Euclid's algorithm

Highest Common Factor of 886,7646,8330 is 2

Step 1: Since 7646 > 886, we apply the division lemma to 7646 and 886, to get

7646 = 886 x 8 + 558

Step 2: Since the reminder 886 ≠ 0, we apply division lemma to 558 and 886, to get

886 = 558 x 1 + 328

Step 3: We consider the new divisor 558 and the new remainder 328, and apply the division lemma to get

558 = 328 x 1 + 230

We consider the new divisor 328 and the new remainder 230,and apply the division lemma to get

328 = 230 x 1 + 98

We consider the new divisor 230 and the new remainder 98,and apply the division lemma to get

230 = 98 x 2 + 34

We consider the new divisor 98 and the new remainder 34,and apply the division lemma to get

98 = 34 x 2 + 30

We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get

34 = 30 x 1 + 4

We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get

30 = 4 x 7 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 886 and 7646 is 2

Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(98,34) = HCF(230,98) = HCF(328,230) = HCF(558,328) = HCF(886,558) = HCF(7646,886) .

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

Step 1: Since 8330 > 2, we apply the division lemma to 8330 and 2, to get

8330 = 2 x 4165 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 8330 is 2

Notice that 2 = HCF(8330,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 886, 7646, 8330 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 886, 7646, 8330?

Answer: HCF of 886, 7646, 8330 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 886, 7646, 8330 using Euclid's Algorithm?

Answer: For arbitrary numbers 886, 7646, 8330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.