Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7870/81,3989/270
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 7870,3989
Greatest Common Factor of Numerators i.e. GCF of 7870,3989 is 1 .
LCM of Denominators means LCM of 81,270 as per the given fractions.
LCM of 81,270 is 810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7870,3989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7870
List of positive integer factors of 7870 that divides 7870 without a remainder.
1,2,5,10,787,1574,3935,7870
Factors of 3989
List of positive integer factors of 3989 that divides 3989 without a remainder.
1,3989
Greatest Common Factor
We found the factors 7870,3989 . The biggest common factor number is the GCF number.
So the greatest common factor 7870,3989 is 1.
Lets's calculate LCM of 81,270
3 | 81, 270 |
3 | 27, 90 |
3 | 9, 30 |
3, 10 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 10 = 810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810
Therefore, the GCF of Fractions 7870/81,3989/270 is 1/810
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 81,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,270) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(81,270) x common factors =27 x 1 = 27
LCM(81,270) = ( 81 × 270 ) / 27
LCM(81,270) = 21870 / 27
LCM(81,270) = 810
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 7870/81, 3989/270?
Answer: GCF of Numerators as per given numbers 7870/81, 3989/270 is
GCF of Numerators i.e. for 7870,3989 is 1
LCM of denominators i.e. for 81,270 is 810.
Thus, GCF of Fractions is 1/810.Finally, GCF of Fractions for 7870/81, 3989/270 is 1/810.