Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/52,888/634
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 420,888
Greatest Common Factor of Numerators i.e. GCF of 420,888 is 12 .
LCM of Denominators means LCM of 52,634 as per the given fractions.
LCM of 52,634 is 16484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,888
2 | 420, 888 |
2 | 210, 444 |
3 | 105, 222 |
35, 74 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 420,888 . The biggest common factor number is the GCF number.
So the greatest common factor 420,888 is 12.
Lets's calculate LCM of 52,634
2 | 52, 634 |
26, 317 |
∴ So the LCM of the given numbers is 2 x 26 x 317 = 16484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/16484
Therefore, the GCF of Fractions 420/52,888/634 is 12/16484
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 52,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,634) x common factors =2 x 1 = 2
LCM(52,634) = ( 52 × 634 ) / 2
LCM(52,634) = 32968 / 2
LCM(52,634) = 16484
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 420/52, 888/634?
Answer: GCF of Numerators as per given numbers 420/52, 888/634 is
GCF of Numerators i.e. for 420,888 is 12
LCM of denominators i.e. for 52,634 is 16484.
Thus, GCF of Fractions is 12/16484.Finally, GCF of Fractions for 420/52, 888/634 is 12/16484.