Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/711,7575/2892
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 84,7575
Greatest Common Factor of Numerators i.e. GCF of 84,7575 is 3 .
LCM of Denominators means LCM of 711,2892 as per the given fractions.
LCM of 711,2892 is 685404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,7575
3 | 84, 7575 |
28, 2525 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 7575
List of positive integer factors of 7575 that divides 7575 without a remainder.
1,3,5,15,25,75,101,303,505,1515,2525,7575
Greatest Common Factor
We found the factors 84,7575 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7575 is 3.
Lets's calculate LCM of 711,2892
3 | 711, 2892 |
237, 964 |
∴ So the LCM of the given numbers is 3 x 237 x 964 = 685404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/685404
Therefore, the GCF of Fractions 84/711,7575/2892 is 3/685404
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 711,2892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,2892) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,2892) x common factors =3 x 1 = 3
LCM(711,2892) = ( 711 × 2892 ) / 3
LCM(711,2892) = 2056212 / 3
LCM(711,2892) = 685404
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 84/711, 7575/2892?
Answer: GCF of Numerators as per given numbers 84/711, 7575/2892 is
GCF of Numerators i.e. for 84,7575 is 3
LCM of denominators i.e. for 711,2892 is 685404.
Thus, GCF of Fractions is 3/685404.Finally, GCF of Fractions for 84/711, 7575/2892 is 3/685404.