Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/885,7924/981
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 270,7924
Greatest Common Factor of Numerators i.e. GCF of 270,7924 is 2 .
LCM of Denominators means LCM of 885,981 as per the given fractions.
LCM of 885,981 is 289395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 270,7924
2 | 270, 7924 |
135, 3962 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 7924
List of positive integer factors of 7924 that divides 7924 without a remainder.
1,2,4,7,14,28,283,566,1132,1981,3962,7924
Greatest Common Factor
We found the factors 270,7924 . The biggest common factor number is the GCF number.
So the greatest common factor 270,7924 is 2.
Lets's calculate LCM of 885,981
3 | 885, 981 |
295, 327 |
∴ So the LCM of the given numbers is 3 x 295 x 327 = 289395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/289395
Therefore, the GCF of Fractions 270/885,7924/981 is 2/289395
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 885,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(885,981) x common factors =3 x 1 = 3
LCM(885,981) = ( 885 × 981 ) / 3
LCM(885,981) = 868185 / 3
LCM(885,981) = 289395
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 270/885, 7924/981?
Answer: GCF of Numerators as per given numbers 270/885, 7924/981 is
GCF of Numerators i.e. for 270,7924 is 2
LCM of denominators i.e. for 885,981 is 289395.
Thus, GCF of Fractions is 2/289395.Finally, GCF of Fractions for 270/885, 7924/981 is 2/289395.