Greatest Common Factor of 269/308, 5375/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 269/308, 5375/140

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 269/308,5375/140

Given fractions are 269/308,5375/140

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 269,5375

Greatest Common Factor of Numerators i.e. GCF of 269,5375 is 1 .

LCM of Denominators means LCM of 308,140 as per the given fractions.

LCM of 308,140 is 1540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 269,5375

GCF of Fractions 269/308,5375/140 is 1/1540

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 269,5375 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,5375 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Greatest Common Factor

We found the factors 269,5375 . The biggest common factor number is the GCF number.
So the greatest common factor 269,5375 is 1.

Lets's calculate LCM of 308,140

2 308, 140
2 154, 70
7 77, 35
11, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 5 = 1540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1540

Therefore, the GCF of Fractions 269/308,5375/140 is 1/1540

Least Common Multiple of 308,140 with GCF Formula

Least Common Multiple of 308,140 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 308,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,140) = 28

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

GCF(308,140) x common factors =28 x 1 = 28

LCM(308,140) = ( 308 × 140 ) / 28

LCM(308,140) = 43120 / 28

LCM(308,140) = 1540


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 269/308, 5375/140

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 269/308, 5375/140?

Answer: GCF of Numerators as per given numbers 269/308, 5375/140 is

GCF of Numerators i.e. for 269,5375 is 1

LCM of denominators i.e. for 308,140 is 1540.

Thus, GCF of Fractions is 1/1540.Finally, GCF of Fractions for 269/308, 5375/140 is 1/1540.