Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/45,23/235,137/997
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 78,23,137
Greatest Common Factor of Numerators i.e. GCF of 78,23,137 is 1 .
LCM of Denominators means LCM of 45,235,997 as per the given fractions.
LCM of 45,235,997 is 2108655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,23,137
∴ So GCF of numbers is 1 because of no common factors present between them.
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 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 78,23,137 . The biggest common factor number is the GCF number.
So the greatest common factor 78,23,137 is 1.
Lets's calculate LCM of 45,235,997
5 | 45, 235, 997 |
9, 47, 997 |
∴ So the LCM of the given numbers is 5 x 9 x 47 x 997 = 2108655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2108655
Therefore, the GCF of Fractions 78/45,23/235,137/997 is 1/2108655
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 45,235,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,235,997) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(45,235,997) x common factors =1 x 5 = 5
LCM(45,235,997) = ( 45 × 235 × 997 ) / 5
LCM(45,235,997) = 10543275 / 5
LCM(45,235,997) = 2108655
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 78/45, 23/235, 137/997?
Answer: GCF of Numerators as per given numbers 78/45, 23/235, 137/997 is
GCF of Numerators i.e. for 78,23,137 is 1
LCM of denominators i.e. for 45,235,997 is 2108655.
Thus, GCF of Fractions is 1/2108655.Finally, GCF of Fractions for 78/45, 23/235, 137/997 is 1/2108655.