Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4947/90,2292/412
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 4947,2292
Greatest Common Factor of Numerators i.e. GCF of 4947,2292 is 3 .
LCM of Denominators means LCM of 90,412 as per the given fractions.
LCM of 90,412 is 18540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4947,2292
3 | 4947, 2292 |
1649, 764 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4947
List of positive integer factors of 4947 that divides 4947 without a remainder.
1,3,17,51,97,291,1649,4947
Factors of 2292
List of positive integer factors of 2292 that divides 2292 without a remainder.
1,2,3,4,6,12,191,382,573,764,1146,2292
Greatest Common Factor
We found the factors 4947,2292 . The biggest common factor number is the GCF number.
So the greatest common factor 4947,2292 is 3.
Lets's calculate LCM of 90,412
2 | 90, 412 |
45, 206 |
∴ So the LCM of the given numbers is 2 x 45 x 206 = 18540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18540
Therefore, the GCF of Fractions 4947/90,2292/412 is 3/18540
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 90,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,412) x common factors =2 x 1 = 2
LCM(90,412) = ( 90 × 412 ) / 2
LCM(90,412) = 37080 / 2
LCM(90,412) = 18540
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 4947/90, 2292/412?
Answer: GCF of Numerators as per given numbers 4947/90, 2292/412 is
GCF of Numerators i.e. for 4947,2292 is 3
LCM of denominators i.e. for 90,412 is 18540.
Thus, GCF of Fractions is 3/18540.Finally, GCF of Fractions for 4947/90, 2292/412 is 3/18540.