Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 516/78,626/82,902/55
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 516,626,902
Greatest Common Factor of Numerators i.e. GCF of 516,626,902 is 2 .
LCM of Denominators means LCM of 78,82,55 as per the given fractions.
LCM of 78,82,55 is 175890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 516,626,902
2 | 516, 626, 902 |
258, 313, 451 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 516,626,902 . The biggest common factor number is the GCF number.
So the greatest common factor 516,626,902 is 2.
Lets's calculate LCM of 78,82,55
2 | 78, 82, 55 |
39, 41, 55 |
∴ So the LCM of the given numbers is 2 x 39 x 41 x 55 = 175890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175890
Therefore, the GCF of Fractions 516/78,626/82,902/55 is 2/175890
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 78,82,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,82,55) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(78,82,55) x common factors =1 x 2 = 2
LCM(78,82,55) = ( 78 × 82 × 55 ) / 2
LCM(78,82,55) = 351780 / 2
LCM(78,82,55) = 175890
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 516/78, 626/82, 902/55?
Answer: GCF of Numerators as per given numbers 516/78, 626/82, 902/55 is
GCF of Numerators i.e. for 516,626,902 is 2
LCM of denominators i.e. for 78,82,55 is 175890.
Thus, GCF of Fractions is 2/175890.Finally, GCF of Fractions for 516/78, 626/82, 902/55 is 2/175890.