Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/56,399/31,790/103
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 135,399,790
Greatest Common Factor of Numerators i.e. GCF of 135,399,790 is 1 .
LCM of Denominators means LCM of 56,31,103 as per the given fractions.
LCM of 56,31,103 is 178808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 135,399,790
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 135,399,790 . The biggest common factor number is the GCF number.
So the greatest common factor 135,399,790 is 1.
Lets's calculate LCM of 56,31,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 178808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178808
Therefore, the GCF of Fractions 135/56,399/31,790/103 is 1/178808
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 56,31,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,31,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,31,103) x common factors =1 x 1 = 1
LCM(56,31,103) = ( 56 × 31 × 103 ) / 1
LCM(56,31,103) = 178808 / 1
LCM(56,31,103) = 178808
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 135/56, 399/31, 790/103?
Answer: GCF of Numerators as per given numbers 135/56, 399/31, 790/103 is
GCF of Numerators i.e. for 135,399,790 is 1
LCM of denominators i.e. for 56,31,103 is 178808.
Thus, GCF of Fractions is 1/178808.Finally, GCF of Fractions for 135/56, 399/31, 790/103 is 1/178808.