Greatest Common Factor of 5425/188, 6513/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5425/188, 6513/497

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5425/188,6513/497

Given fractions are 5425/188,6513/497

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5425,6513

Greatest Common Factor of Numerators i.e. GCF of 5425,6513 is 1 .

LCM of Denominators means LCM of 188,497 as per the given fractions.

LCM of 188,497 is 93436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5425,6513

GCF of Fractions 5425/188,6513/497 is 1/93436

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

Greatest Common Factor of 5425,6513 By Matching Biggest Common Factor Method

Greatest Common Factor of 5425,6513 By Matching Biggest Common Factor Method

Factors of 5425

List of positive integer factors of 5425 that divides 5425 without a remainder.

1,5,7,25,31,35,155,175,217,775,1085,5425

Factors of 6513

List of positive integer factors of 6513 that divides 6513 without a remainder.

1,3,13,39,167,501,2171,6513

Greatest Common Factor

We found the factors 5425,6513 . The biggest common factor number is the GCF number.
So the greatest common factor 5425,6513 is 1.

Lets's calculate LCM of 188,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 93436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93436

Therefore, the GCF of Fractions 5425/188,6513/497 is 1/93436

Least Common Multiple of 188,497 with GCF Formula

Least Common Multiple of 188,497 with GCF Formula

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

We need to calculate greatest common factor of 188,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,497) = 1

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

GCF(188,497) x common factors =1 x 1 = 1

LCM(188,497) = ( 188 × 497 ) / 1

LCM(188,497) = 93436 / 1

LCM(188,497) = 93436


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5425/188, 6513/497

1. 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.

2. What is the GCF of Fractions for 5425/188, 6513/497?

Answer: GCF of Numerators as per given numbers 5425/188, 6513/497 is

GCF of Numerators i.e. for 5425,6513 is 1

LCM of denominators i.e. for 188,497 is 93436.

Thus, GCF of Fractions is 1/93436.Finally, GCF of Fractions for 5425/188, 6513/497 is 1/93436.