Greatest Common Factor of 75/56, 984/40, 390/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/56, 984/40, 390/905

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 75/56,984/40,390/905

Given fractions are 75/56,984/40,390/905

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 75,984,390

Greatest Common Factor of Numerators i.e. GCF of 75,984,390 is 3 .

LCM of Denominators means LCM of 56,40,905 as per the given fractions.

LCM of 56,40,905 is 50680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,984,390

GCF of Fractions 75/56,984/40,390/905 is 3/50680

3 75, 984, 390
25, 328, 130

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 75,984,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,984,390 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 75,984,390 . The biggest common factor number is the GCF number.
So the greatest common factor 75,984,390 is 3.

Lets's calculate LCM of 56,40,905

2 56, 40, 905
2 28, 20, 905
2 14, 10, 905
5 7, 5, 905
7, 1, 181

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 1 x 181 = 50680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50680

Therefore, the GCF of Fractions 75/56,984/40,390/905 is 3/50680

Least Common Multiple of 56,40,905 with GCF Formula

Least Common Multiple of 56,40,905 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 56,40,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,40,905) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(56,40,905) x common factors =1 x 40 = 40

LCM(56,40,905) = ( 56 × 40 × 905 ) / 40

LCM(56,40,905) = 2027200 / 40

LCM(56,40,905) = 50680


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 75/56, 984/40, 390/905

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 75/56, 984/40, 390/905?

Answer: GCF of Numerators as per given numbers 75/56, 984/40, 390/905 is

GCF of Numerators i.e. for 75,984,390 is 3

LCM of denominators i.e. for 56,40,905 is 50680.

Thus, GCF of Fractions is 3/50680.Finally, GCF of Fractions for 75/56, 984/40, 390/905 is 3/50680.