Greatest Common Factor of 78/27, 19/487, 225/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/27, 19/487, 225/952

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 78/27,19/487,225/952

Given fractions are 78/27,19/487,225/952

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 78,19,225

Greatest Common Factor of Numerators i.e. GCF of 78,19,225 is 1 .

LCM of Denominators means LCM of 27,487,952 as per the given fractions.

LCM of 27,487,952 is 12517848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,19,225

GCF of Fractions 78/27,19/487,225/952 is 1/12517848

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

Greatest Common Factor of 78,19,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,19,225 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 78,19,225 . The biggest common factor number is the GCF number.
So the greatest common factor 78,19,225 is 1.

Lets's calculate LCM of 27,487,952

Given numbers has no common factors except 1. So, there LCM is their product i.e 12517848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12517848

Therefore, the GCF of Fractions 78/27,19/487,225/952 is 1/12517848

Least Common Multiple of 27,487,952 with GCF Formula

Least Common Multiple of 27,487,952 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 27,487,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,487,952) = 1

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

GCF(27,487,952) x common factors =1 x 1 = 1

LCM(27,487,952) = ( 27 × 487 × 952 ) / 1

LCM(27,487,952) = 12517848 / 1

LCM(27,487,952) = 12517848


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 78/27, 19/487, 225/952

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 78/27, 19/487, 225/952?

Answer: GCF of Numerators as per given numbers 78/27, 19/487, 225/952 is

GCF of Numerators i.e. for 78,19,225 is 1

LCM of denominators i.e. for 27,487,952 is 12517848.

Thus, GCF of Fractions is 1/12517848.Finally, GCF of Fractions for 78/27, 19/487, 225/952 is 1/12517848.