Highest Common Factor of 8767, 3682, 53148 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 8767, 3682, 53148 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8767, 3682, 53148 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 8767, 3682, 53148 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 8767, 3682, 53148 is 1.

HCF(8767, 3682, 53148) = 1

HCF of 8767, 3682, 53148 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 8767, 3682, 53148 is 1.

Highest Common Factor of 8767,3682,53148 using Euclid's algorithm

Highest Common Factor of 8767,3682,53148 is 1

Step 1: Since 8767 > 3682, we apply the division lemma to 8767 and 3682, to get

8767 = 3682 x 2 + 1403

Step 2: Since the reminder 3682 ≠ 0, we apply division lemma to 1403 and 3682, to get

3682 = 1403 x 2 + 876

Step 3: We consider the new divisor 1403 and the new remainder 876, and apply the division lemma to get

1403 = 876 x 1 + 527

We consider the new divisor 876 and the new remainder 527,and apply the division lemma to get

876 = 527 x 1 + 349

We consider the new divisor 527 and the new remainder 349,and apply the division lemma to get

527 = 349 x 1 + 178

We consider the new divisor 349 and the new remainder 178,and apply the division lemma to get

349 = 178 x 1 + 171

We consider the new divisor 178 and the new remainder 171,and apply the division lemma to get

178 = 171 x 1 + 7

We consider the new divisor 171 and the new remainder 7,and apply the division lemma to get

171 = 7 x 24 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 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 8767 and 3682 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(171,7) = HCF(178,171) = HCF(349,178) = HCF(527,349) = HCF(876,527) = HCF(1403,876) = HCF(3682,1403) = HCF(8767,3682) .

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

Step 1: Since 53148 > 1, we apply the division lemma to 53148 and 1, to get

53148 = 1 x 53148 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53148 is 1

Notice that 1 = HCF(53148,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8767, 3682, 53148 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 8767, 3682, 53148?

Answer: HCF of 8767, 3682, 53148 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8767, 3682, 53148 using Euclid's Algorithm?

Answer: For arbitrary numbers 8767, 3682, 53148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.