Greatest Common Factor of 5149/65, 5225/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5149/65, 5225/253

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 5149/65,5225/253

Given fractions are 5149/65,5225/253

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 5149,5225

Greatest Common Factor of Numerators i.e. GCF of 5149,5225 is 19 .

LCM of Denominators means LCM of 65,253 as per the given fractions.

LCM of 65,253 is 16445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5149,5225

GCF of Fractions 5149/65,5225/253 is 19/16445

19 5149, 5225
271, 275

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 5149,5225 By Matching Biggest Common Factor Method

Greatest Common Factor of 5149,5225 By Matching Biggest Common Factor Method

Factors of 5149

List of positive integer factors of 5149 that divides 5149 without a remainder.

1,19,271,5149

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1,5,11,19,25,55,95,209,275,475,1045,5225

Greatest Common Factor

We found the factors 5149,5225 . The biggest common factor number is the GCF number.
So the greatest common factor 5149,5225 is 19.

Lets's calculate LCM of 65,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 16445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/16445

Therefore, the GCF of Fractions 5149/65,5225/253 is 19/16445

Least Common Multiple of 65,253 with GCF Formula

Least Common Multiple of 65,253 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 65,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,253) = 1

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

GCF(65,253) x common factors =1 x 1 = 1

LCM(65,253) = ( 65 × 253 ) / 1

LCM(65,253) = 16445 / 1

LCM(65,253) = 16445


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 5149/65, 5225/253

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 5149/65, 5225/253?

Answer: GCF of Numerators as per given numbers 5149/65, 5225/253 is

GCF of Numerators i.e. for 5149,5225 is 19

LCM of denominators i.e. for 65,253 is 16445.

Thus, GCF of Fractions is 19/16445.Finally, GCF of Fractions for 5149/65, 5225/253 is 19/16445.