Greatest Common Factor of 12/95, 48/25, 514/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/95, 48/25, 514/405

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 12/95,48/25,514/405

Given fractions are 12/95,48/25,514/405

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 12,48,514

Greatest Common Factor of Numerators i.e. GCF of 12,48,514 is 2 .

LCM of Denominators means LCM of 95,25,405 as per the given fractions.

LCM of 95,25,405 is 38475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,48,514

GCF of Fractions 12/95,48/25,514/405 is 2/38475

2 12, 48, 514
6, 24, 257

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

Greatest Common Factor of 12,48,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,48,514 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 12,48,514 . The biggest common factor number is the GCF number.
So the greatest common factor 12,48,514 is 2.

Lets's calculate LCM of 95,25,405

5 95, 25, 405
19, 5, 81

∴ So the LCM of the given numbers is 5 x 19 x 5 x 81 = 38475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38475

Therefore, the GCF of Fractions 12/95,48/25,514/405 is 2/38475

Least Common Multiple of 95,25,405 with GCF Formula

Least Common Multiple of 95,25,405 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 95,25,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,25,405) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(95,25,405) x common factors =5 x 5 = 25

LCM(95,25,405) = ( 95 × 25 × 405 ) / 25

LCM(95,25,405) = 961875 / 25

LCM(95,25,405) = 38475


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 12/95, 48/25, 514/405

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 12/95, 48/25, 514/405?

Answer: GCF of Numerators as per given numbers 12/95, 48/25, 514/405 is

GCF of Numerators i.e. for 12,48,514 is 2

LCM of denominators i.e. for 95,25,405 is 38475.

Thus, GCF of Fractions is 2/38475.Finally, GCF of Fractions for 12/95, 48/25, 514/405 is 2/38475.