Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 468/434,7932/321
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 468,7932
Greatest Common Factor of Numerators i.e. GCF of 468,7932 is 12 .
LCM of Denominators means LCM of 434,321 as per the given fractions.
LCM of 434,321 is 139314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 468,7932
2 | 468, 7932 |
2 | 234, 3966 |
3 | 117, 1983 |
39, 661 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 7932
List of positive integer factors of 7932 that divides 7932 without a remainder.
1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Greatest Common Factor
We found the factors 468,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 468,7932 is 12.
Lets's calculate LCM of 434,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 139314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/139314
Therefore, the GCF of Fractions 468/434,7932/321 is 12/139314
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 434,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,321) x common factors =1 x 1 = 1
LCM(434,321) = ( 434 × 321 ) / 1
LCM(434,321) = 139314 / 1
LCM(434,321) = 139314
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 468/434, 7932/321?
Answer: GCF of Numerators as per given numbers 468/434, 7932/321 is
GCF of Numerators i.e. for 468,7932 is 12
LCM of denominators i.e. for 434,321 is 139314.
Thus, GCF of Fractions is 12/139314.Finally, GCF of Fractions for 468/434, 7932/321 is 12/139314.