Greatest Common Factor of 308/31, 560/5195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/31, 560/5195

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 308/31,560/5195

Given fractions are 308/31,560/5195

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 308,560

Greatest Common Factor of Numerators i.e. GCF of 308,560 is 28 .

LCM of Denominators means LCM of 31,5195 as per the given fractions.

LCM of 31,5195 is 161045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,560

GCF of Fractions 308/31,560/5195 is 28/161045

2 308, 560
2 154, 280
7 77, 140
11, 20

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 308,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,560 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 308,560 . The biggest common factor number is the GCF number.
So the greatest common factor 308,560 is 28.

Lets's calculate LCM of 31,5195

Given numbers has no common factors except 1. So, there LCM is their product i.e 161045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/161045

Therefore, the GCF of Fractions 308/31,560/5195 is 28/161045

Least Common Multiple of 31,5195 with GCF Formula

Least Common Multiple of 31,5195 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 31,5195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,5195) = 1

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

GCF(31,5195) x common factors =1 x 1 = 1

LCM(31,5195) = ( 31 × 5195 ) / 1

LCM(31,5195) = 161045 / 1

LCM(31,5195) = 161045


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 308/31, 560/5195

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 308/31, 560/5195?

Answer: GCF of Numerators as per given numbers 308/31, 560/5195 is

GCF of Numerators i.e. for 308,560 is 28

LCM of denominators i.e. for 31,5195 is 161045.

Thus, GCF of Fractions is 28/161045.Finally, GCF of Fractions for 308/31, 560/5195 is 28/161045.