Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 113/78,985/23,956/913
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 113,985,956
Greatest Common Factor of Numerators i.e. GCF of 113,985,956 is 1 .
LCM of Denominators means LCM of 78,23,913 as per the given fractions.
LCM of 78,23,913 is 1637922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 113,985,956
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 113,985,956 . The biggest common factor number is the GCF number.
So the greatest common factor 113,985,956 is 1.
Lets's calculate LCM of 78,23,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1637922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1637922
Therefore, the GCF of Fractions 113/78,985/23,956/913 is 1/1637922
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 78,23,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,23,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,23,913) x common factors =1 x 1 = 1
LCM(78,23,913) = ( 78 × 23 × 913 ) / 1
LCM(78,23,913) = 1637922 / 1
LCM(78,23,913) = 1637922
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 113/78, 985/23, 956/913?
Answer: GCF of Numerators as per given numbers 113/78, 985/23, 956/913 is
GCF of Numerators i.e. for 113,985,956 is 1
LCM of denominators i.e. for 78,23,913 is 1637922.
Thus, GCF of Fractions is 1/1637922.Finally, GCF of Fractions for 113/78, 985/23, 956/913 is 1/1637922.