Greatest Common Factor of 140/171, 5308/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/171, 5308/229

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 140/171,5308/229

Given fractions are 140/171,5308/229

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 140,5308

Greatest Common Factor of Numerators i.e. GCF of 140,5308 is 4 .

LCM of Denominators means LCM of 171,229 as per the given fractions.

LCM of 171,229 is 39159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,5308

GCF of Fractions 140/171,5308/229 is 4/39159

2 140, 5308
2 70, 2654
35, 1327

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 140,5308 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,5308 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 5308

List of positive integer factors of 5308 that divides 5308 without a remainder.

1,2,4,1327,2654,5308

Greatest Common Factor

We found the factors 140,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 140,5308 is 4.

Lets's calculate LCM of 171,229

Given numbers has no common factors except 1. So, there LCM is their product i.e 39159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/39159

Therefore, the GCF of Fractions 140/171,5308/229 is 4/39159

Least Common Multiple of 171,229 with GCF Formula

Least Common Multiple of 171,229 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 171,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,229) = 1

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

GCF(171,229) x common factors =1 x 1 = 1

LCM(171,229) = ( 171 × 229 ) / 1

LCM(171,229) = 39159 / 1

LCM(171,229) = 39159


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 140/171, 5308/229

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 140/171, 5308/229?

Answer: GCF of Numerators as per given numbers 140/171, 5308/229 is

GCF of Numerators i.e. for 140,5308 is 4

LCM of denominators i.e. for 171,229 is 39159.

Thus, GCF of Fractions is 4/39159.Finally, GCF of Fractions for 140/171, 5308/229 is 4/39159.