Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 115/58,876/3177
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 115,876
Greatest Common Factor of Numerators i.e. GCF of 115,876 is 1 .
LCM of Denominators means LCM of 58,3177 as per the given fractions.
LCM of 58,3177 is 184266 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 115,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 115,876 . The biggest common factor number is the GCF number.
So the greatest common factor 115,876 is 1.
Lets's calculate LCM of 58,3177
Given numbers has no common factors except 1. So, there LCM is their product i.e 184266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184266
Therefore, the GCF of Fractions 115/58,876/3177 is 1/184266
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 58,3177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,3177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,3177) x common factors =1 x 1 = 1
LCM(58,3177) = ( 58 × 3177 ) / 1
LCM(58,3177) = 184266 / 1
LCM(58,3177) = 184266
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 115/58, 876/3177?
Answer: GCF of Numerators as per given numbers 115/58, 876/3177 is
GCF of Numerators i.e. for 115,876 is 1
LCM of denominators i.e. for 58,3177 is 184266.
Thus, GCF of Fractions is 1/184266.Finally, GCF of Fractions for 115/58, 876/3177 is 1/184266.