Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 133/257,2939/114
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 133,2939
Greatest Common Factor of Numerators i.e. GCF of 133,2939 is 1 .
LCM of Denominators means LCM of 257,114 as per the given fractions.
LCM of 257,114 is 29298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 133,2939
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 2939
List of positive integer factors of 2939 that divides 2939 without a remainder.
1,2939
Greatest Common Factor
We found the factors 133,2939 . The biggest common factor number is the GCF number.
So the greatest common factor 133,2939 is 1.
Lets's calculate LCM of 257,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 29298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29298
Therefore, the GCF of Fractions 133/257,2939/114 is 1/29298
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 257,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,114) x common factors =1 x 1 = 1
LCM(257,114) = ( 257 × 114 ) / 1
LCM(257,114) = 29298 / 1
LCM(257,114) = 29298
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 133/257, 2939/114?
Answer: GCF of Numerators as per given numbers 133/257, 2939/114 is
GCF of Numerators i.e. for 133,2939 is 1
LCM of denominators i.e. for 257,114 is 29298.
Thus, GCF of Fractions is 1/29298.Finally, GCF of Fractions for 133/257, 2939/114 is 1/29298.