Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 108/947,6107/268
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 108,6107
Greatest Common Factor of Numerators i.e. GCF of 108,6107 is 1 .
LCM of Denominators means LCM of 947,268 as per the given fractions.
LCM of 947,268 is 253796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 108,6107
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 6107
List of positive integer factors of 6107 that divides 6107 without a remainder.
1,31,197,6107
Greatest Common Factor
We found the factors 108,6107 . The biggest common factor number is the GCF number.
So the greatest common factor 108,6107 is 1.
Lets's calculate LCM of 947,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 253796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253796
Therefore, the GCF of Fractions 108/947,6107/268 is 1/253796
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 947,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,268) x common factors =1 x 1 = 1
LCM(947,268) = ( 947 × 268 ) / 1
LCM(947,268) = 253796 / 1
LCM(947,268) = 253796
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 108/947, 6107/268?
Answer: GCF of Numerators as per given numbers 108/947, 6107/268 is
GCF of Numerators i.e. for 108,6107 is 1
LCM of denominators i.e. for 947,268 is 253796.
Thus, GCF of Fractions is 1/253796.Finally, GCF of Fractions for 108/947, 6107/268 is 1/253796.