Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/393,468/995
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 78,468
Greatest Common Factor of Numerators i.e. GCF of 78,468 is 78 .
LCM of Denominators means LCM of 393,995 as per the given fractions.
LCM of 393,995 is 391035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,468
2 | 78, 468 |
3 | 39, 234 |
13 | 13, 78 |
1, 6 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
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
Greatest Common Factor
We found the factors 78,468 . The biggest common factor number is the GCF number.
So the greatest common factor 78,468 is 78.
Lets's calculate LCM of 393,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 391035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/391035
Therefore, the GCF of Fractions 78/393,468/995 is 78/391035
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 393,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,995) x common factors =1 x 1 = 1
LCM(393,995) = ( 393 × 995 ) / 1
LCM(393,995) = 391035 / 1
LCM(393,995) = 391035
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 78/393, 468/995?
Answer: GCF of Numerators as per given numbers 78/393, 468/995 is
GCF of Numerators i.e. for 78,468 is 78
LCM of denominators i.e. for 393,995 is 391035.
Thus, GCF of Fractions is 78/391035.Finally, GCF of Fractions for 78/393, 468/995 is 78/391035.