How to Find GCF of 5297/411, 2436/5543?

GCF of 5297/411, 2436/5543

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5297/411, 2436/5543 i.e 1/2278173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5297/411, 2436/5543.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5297/411,2436/5543?

Given fractions are 5297/411,2436/5543

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5297/411,2436/5543, numerators are 5297,2436

Denominators are 411,5543

The GCF of 5297,2436 is 1 .

LCM of 411,5543 is 2278173.

The greatest common factor of 5297/411,2436/5543 = [GCF of 5297,2436]/[LCM of 411,5543]= 1/2278173

Therefore, the GCF of 5297/411,2436/5543 is 1/2278173.

Greatest Common Factor of 5297,2436

To find the highest common factor of 5297,2436, we have to find the factors of both numbers and list the highest common factor.

The factors of 5297 are 1, 5297

The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436

The HCF of 5297,2436 is 1.

Lets's calculate GCF of 5297,2436

Greatest Common Factor (GCF) of 5297,2436 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5297,2436 By Matching Biggest Common Factor Method

Now, list down the factors of 5297

1,5297

Now, list down the factors of 2436

1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436

Greatest Common Factor

We found the factors 5297,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 5297,2436 is 1.

Lets's calculate LCM of 411,5543

Lowest Common Multiple of 411,5543 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2278173

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2278173

Therefore, the GCF of Fractions 5297/411,2436/5543 is 1/2278173

Least Common Multiple of 411,5543 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 411,5543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,5543) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(411,5543) x common factors =1 x 1 = 1

LCM(411,5543) = ( 411 × 5543 ) / 1

LCM(411,5543) = 2278173 / 1

LCM(411,5543) = 2278173

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5297/411, 2436/5543

1. What is the HCF of 5297,2436?

The HCF of 5297,2436 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5297/411, 2436/5543?

Answer: GCF of Numerators as per given numbers 5297/411, 2436/5543 is

GCF of Numerators i.e. for 5297,2436 is 1

LCM of denominators i.e. for 411,5543 is 2278173.

Thus, GCF of Fractions is 1/2278173.Finally, GCF of Fractions for 5297/411, 2436/5543 is 1/2278173.