Greatest Common Factor of 5252/61, 2902/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5252/61, 2902/319

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 5252/61,2902/319

Given fractions are 5252/61,2902/319

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 5252,2902

Greatest Common Factor of Numerators i.e. GCF of 5252,2902 is 2 .

LCM of Denominators means LCM of 61,319 as per the given fractions.

LCM of 61,319 is 19459 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5252,2902

GCF of Fractions 5252/61,2902/319 is 2/19459

2 5252, 2902
2626, 1451

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5252,2902 By Matching Biggest Common Factor Method

Greatest Common Factor of 5252,2902 By Matching Biggest Common Factor Method

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1,2,4,13,26,52,101,202,404,1313,2626,5252

Factors of 2902

List of positive integer factors of 2902 that divides 2902 without a remainder.

1,2,1451,2902

Greatest Common Factor

We found the factors 5252,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 5252,2902 is 2.

Lets's calculate LCM of 61,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 19459

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19459

Therefore, the GCF of Fractions 5252/61,2902/319 is 2/19459

Least Common Multiple of 61,319 with GCF Formula

Least Common Multiple of 61,319 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 61,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,319) = 1

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

GCF(61,319) x common factors =1 x 1 = 1

LCM(61,319) = ( 61 × 319 ) / 1

LCM(61,319) = 19459 / 1

LCM(61,319) = 19459


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 5252/61, 2902/319

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 5252/61, 2902/319?

Answer: GCF of Numerators as per given numbers 5252/61, 2902/319 is

GCF of Numerators i.e. for 5252,2902 is 2

LCM of denominators i.e. for 61,319 is 19459.

Thus, GCF of Fractions is 2/19459.Finally, GCF of Fractions for 5252/61, 2902/319 is 2/19459.