Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9420/76,9579/969
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 9420,9579
Greatest Common Factor of Numerators i.e. GCF of 9420,9579 is 3 .
LCM of Denominators means LCM of 76,969 as per the given fractions.
LCM of 76,969 is 3876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9420,9579
3 | 9420, 9579 |
3140, 3193 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9420
List of positive integer factors of 9420 that divides 9420 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Factors of 9579
List of positive integer factors of 9579 that divides 9579 without a remainder.
1,3,31,93,103,309,3193,9579
Greatest Common Factor
We found the factors 9420,9579 . The biggest common factor number is the GCF number.
So the greatest common factor 9420,9579 is 3.
Lets's calculate LCM of 76,969
19 | 76, 969 |
4, 51 |
∴ So the LCM of the given numbers is 19 x 4 x 51 = 3876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3876
Therefore, the GCF of Fractions 9420/76,9579/969 is 3/3876
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 76,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,969) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(76,969) x common factors =19 x 1 = 19
LCM(76,969) = ( 76 × 969 ) / 19
LCM(76,969) = 73644 / 19
LCM(76,969) = 3876
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 9420/76, 9579/969?
Answer: GCF of Numerators as per given numbers 9420/76, 9579/969 is
GCF of Numerators i.e. for 9420,9579 is 3
LCM of denominators i.e. for 76,969 is 3876.
Thus, GCF of Fractions is 3/3876.Finally, GCF of Fractions for 9420/76, 9579/969 is 3/3876.