Greatest Common Factor of 94/45, 89/25, 10/40, 27/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/45, 89/25, 10/40, 27/12

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 94/45,89/25,10/40,27/12

Given fractions are 94/45,89/25,10/40,27/12

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 94,89,10,27

Greatest Common Factor of Numerators i.e. GCF of 94,89,10,27 is 1 .

LCM of Denominators means LCM of 45,25,40,12 as per the given fractions.

LCM of 45,25,40,12 is 1800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,89,10,27

GCF of Fractions 94/45,89/25,10/40,27/12 is 1/1800

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

Greatest Common Factor of 94,89,10,27 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,89,10,27 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Greatest Common Factor

We found the factors 94,89,10,27 . The biggest common factor number is the GCF number.
So the greatest common factor 94,89,10,27 is 1.

Lets's calculate LCM of 45,25,40,12

2 45, 25, 40, 12
2 45, 25, 20, 6
3 45, 25, 10, 3
5 15, 25, 10, 1
3, 5, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 5 x 2 x 1 = 1800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1800

Therefore, the GCF of Fractions 94/45,89/25,10/40,27/12 is 1/1800

Least Common Multiple of 45,25,40,12 with GCF Formula

Least Common Multiple of 45,25,40,12 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 45,25,40,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,25,40,12) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(45,25,40,12) x common factors =1 x 300 = 300

LCM(45,25,40,12) = ( 45 × 25 × 40 × 12 ) / 300

LCM(45,25,40,12) = 540000 / 300

LCM(45,25,40,12) = 1800


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 94/45, 89/25, 10/40, 27/12

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 94/45, 89/25, 10/40, 27/12?

Answer: GCF of Numerators as per given numbers 94/45, 89/25, 10/40, 27/12 is

GCF of Numerators i.e. for 94,89,10,27 is 1

LCM of denominators i.e. for 45,25,40,12 is 1800.

Thus, GCF of Fractions is 1/1800.Finally, GCF of Fractions for 94/45, 89/25, 10/40, 27/12 is 1/1800.