Greatest Common Factor of 30/75, 46/41, 78/48, 21/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/75, 46/41, 78/48, 21/945

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 30/75,46/41,78/48,21/945

Given fractions are 30/75,46/41,78/48,21/945

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 30,46,78,21

Greatest Common Factor of Numerators i.e. GCF of 30,46,78,21 is 1 .

LCM of Denominators means LCM of 75,41,48,945 as per the given fractions.

LCM of 75,41,48,945 is 3099600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,46,78,21

GCF of Fractions 30/75,46/41,78/48,21/945 is 1/3099600

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

Greatest Common Factor of 30,46,78,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,46,78,21 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 30,46,78,21 . The biggest common factor number is the GCF number.
So the greatest common factor 30,46,78,21 is 1.

Lets's calculate LCM of 75,41,48,945

3 75, 41, 48, 945
5 25, 41, 16, 315
5, 41, 16, 63

∴ So the LCM of the given numbers is 3 x 5 x 5 x 41 x 16 x 63 = 3099600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3099600

Therefore, the GCF of Fractions 30/75,46/41,78/48,21/945 is 1/3099600

Least Common Multiple of 75,41,48,945 with GCF Formula

Least Common Multiple of 75,41,48,945 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 75,41,48,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,41,48,945) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(75,41,48,945) x common factors =1 x 45 = 45

LCM(75,41,48,945) = ( 75 × 41 × 48 × 945 ) / 45

LCM(75,41,48,945) = 139482000 / 45

LCM(75,41,48,945) = 3099600


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 30/75, 46/41, 78/48, 21/945

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 30/75, 46/41, 78/48, 21/945?

Answer: GCF of Numerators as per given numbers 30/75, 46/41, 78/48, 21/945 is

GCF of Numerators i.e. for 30,46,78,21 is 1

LCM of denominators i.e. for 75,41,48,945 is 3099600.

Thus, GCF of Fractions is 1/3099600.Finally, GCF of Fractions for 30/75, 46/41, 78/48, 21/945 is 1/3099600.