Greatest Common Factor of 30/14, 77/56, 313/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/14, 77/56, 313/269

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 30/14,77/56,313/269

Given fractions are 30/14,77/56,313/269

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 30,77,313

Greatest Common Factor of Numerators i.e. GCF of 30,77,313 is 1 .

LCM of Denominators means LCM of 14,56,269 as per the given fractions.

LCM of 14,56,269 is 15064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,77,313

GCF of Fractions 30/14,77/56,313/269 is 1/15064

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

Greatest Common Factor of 30,77,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,77,313 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 30,77,313 . The biggest common factor number is the GCF number.
So the greatest common factor 30,77,313 is 1.

Lets's calculate LCM of 14,56,269

2 14, 56, 269
7 7, 28, 269
1, 4, 269

∴ So the LCM of the given numbers is 2 x 7 x 1 x 4 x 269 = 15064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15064

Therefore, the GCF of Fractions 30/14,77/56,313/269 is 1/15064

Least Common Multiple of 14,56,269 with GCF Formula

Least Common Multiple of 14,56,269 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 14,56,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,56,269) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,56,269) x common factors =1 x 14 = 14

LCM(14,56,269) = ( 14 × 56 × 269 ) / 14

LCM(14,56,269) = 210896 / 14

LCM(14,56,269) = 15064


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 30/14, 77/56, 313/269

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 30/14, 77/56, 313/269?

Answer: GCF of Numerators as per given numbers 30/14, 77/56, 313/269 is

GCF of Numerators i.e. for 30,77,313 is 1

LCM of denominators i.e. for 14,56,269 is 15064.

Thus, GCF of Fractions is 1/15064.Finally, GCF of Fractions for 30/14, 77/56, 313/269 is 1/15064.