Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 393/45,684/790
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 393,684
Greatest Common Factor of Numerators i.e. GCF of 393,684 is 3 .
LCM of Denominators means LCM of 45,790 as per the given fractions.
LCM of 45,790 is 7110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 393,684
3 | 393, 684 |
131, 228 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 393,684 . The biggest common factor number is the GCF number.
So the greatest common factor 393,684 is 3.
Lets's calculate LCM of 45,790
5 | 45, 790 |
9, 158 |
∴ So the LCM of the given numbers is 5 x 9 x 158 = 7110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7110
Therefore, the GCF of Fractions 393/45,684/790 is 3/7110
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 45,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,790) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(45,790) x common factors =5 x 1 = 5
LCM(45,790) = ( 45 × 790 ) / 5
LCM(45,790) = 35550 / 5
LCM(45,790) = 7110
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 393/45, 684/790?
Answer: GCF of Numerators as per given numbers 393/45, 684/790 is
GCF of Numerators i.e. for 393,684 is 3
LCM of denominators i.e. for 45,790 is 7110.
Thus, GCF of Fractions is 3/7110.Finally, GCF of Fractions for 393/45, 684/790 is 3/7110.