Greatest Common Factor of 5365/627, 2280/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5365/627, 2280/308

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 5365/627,2280/308

Given fractions are 5365/627,2280/308

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 5365,2280

Greatest Common Factor of Numerators i.e. GCF of 5365,2280 is 5 .

LCM of Denominators means LCM of 627,308 as per the given fractions.

LCM of 627,308 is 17556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5365,2280

GCF of Fractions 5365/627,2280/308 is 5/17556

5 5365, 2280
1073, 456

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5365,2280 By Matching Biggest Common Factor Method

Greatest Common Factor of 5365,2280 By Matching Biggest Common Factor Method

Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1,5,29,37,145,185,1073,5365

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Greatest Common Factor

We found the factors 5365,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 5365,2280 is 5.

Lets's calculate LCM of 627,308

11 627, 308
57, 28

∴ So the LCM of the given numbers is 11 x 57 x 28 = 17556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17556

Therefore, the GCF of Fractions 5365/627,2280/308 is 5/17556

Least Common Multiple of 627,308 with GCF Formula

Least Common Multiple of 627,308 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 627,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,308) = 11

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

GCF(627,308) x common factors =11 x 1 = 11

LCM(627,308) = ( 627 × 308 ) / 11

LCM(627,308) = 193116 / 11

LCM(627,308) = 17556


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 5365/627, 2280/308

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 5365/627, 2280/308?

Answer: GCF of Numerators as per given numbers 5365/627, 2280/308 is

GCF of Numerators i.e. for 5365,2280 is 5

LCM of denominators i.e. for 627,308 is 17556.

Thus, GCF of Fractions is 5/17556.Finally, GCF of Fractions for 5365/627, 2280/308 is 5/17556.