Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 426/12,5152/177
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 426,5152
Greatest Common Factor of Numerators i.e. GCF of 426,5152 is 2 .
LCM of Denominators means LCM of 12,177 as per the given fractions.
LCM of 12,177 is 708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 426,5152
2 | 426, 5152 |
213, 2576 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 5152
List of positive integer factors of 5152 that divides 5152 without a remainder.
1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 426,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 426,5152 is 2.
Lets's calculate LCM of 12,177
3 | 12, 177 |
4, 59 |
∴ So the LCM of the given numbers is 3 x 4 x 59 = 708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/708
Therefore, the GCF of Fractions 426/12,5152/177 is 2/708
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 12,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,177) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,177) x common factors =3 x 1 = 3
LCM(12,177) = ( 12 × 177 ) / 3
LCM(12,177) = 2124 / 3
LCM(12,177) = 708
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 426/12, 5152/177?
Answer: GCF of Numerators as per given numbers 426/12, 5152/177 is
GCF of Numerators i.e. for 426,5152 is 2
LCM of denominators i.e. for 12,177 is 708.
Thus, GCF of Fractions is 2/708.Finally, GCF of Fractions for 426/12, 5152/177 is 2/708.