Highest Common Factor of 6549, 3100, 56444 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 6549, 3100, 56444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6549, 3100, 56444 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 6549, 3100, 56444 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 6549, 3100, 56444 is 1.

HCF(6549, 3100, 56444) = 1

HCF of 6549, 3100, 56444 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 6549, 3100, 56444 is 1.

Highest Common Factor of 6549,3100,56444 using Euclid's algorithm

Highest Common Factor of 6549,3100,56444 is 1

Step 1: Since 6549 > 3100, we apply the division lemma to 6549 and 3100, to get

6549 = 3100 x 2 + 349

Step 2: Since the reminder 3100 ≠ 0, we apply division lemma to 349 and 3100, to get

3100 = 349 x 8 + 308

Step 3: We consider the new divisor 349 and the new remainder 308, and apply the division lemma to get

349 = 308 x 1 + 41

We consider the new divisor 308 and the new remainder 41,and apply the division lemma to get

308 = 41 x 7 + 21

We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get

41 = 21 x 1 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6549 and 3100 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(308,41) = HCF(349,308) = HCF(3100,349) = HCF(6549,3100) .

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

Step 1: Since 56444 > 1, we apply the division lemma to 56444 and 1, to get

56444 = 1 x 56444 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56444 is 1

Notice that 1 = HCF(56444,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6549, 3100, 56444 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 6549, 3100, 56444?

Answer: HCF of 6549, 3100, 56444 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6549, 3100, 56444 using Euclid's Algorithm?

Answer: For arbitrary numbers 6549, 3100, 56444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.