Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/505,2314/3891
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 91,2314
Greatest Common Factor of Numerators i.e. GCF of 91,2314 is 13 .
LCM of Denominators means LCM of 505,3891 as per the given fractions.
LCM of 505,3891 is 1964955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,2314
13 | 91, 2314 |
7, 178 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 2314
List of positive integer factors of 2314 that divides 2314 without a remainder.
1,2,13,26,89,178,1157,2314
Greatest Common Factor
We found the factors 91,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 91,2314 is 13.
Lets's calculate LCM of 505,3891
Given numbers has no common factors except 1. So, there LCM is their product i.e 1964955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1964955
Therefore, the GCF of Fractions 91/505,2314/3891 is 13/1964955
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 505,3891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,3891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,3891) x common factors =1 x 1 = 1
LCM(505,3891) = ( 505 × 3891 ) / 1
LCM(505,3891) = 1964955 / 1
LCM(505,3891) = 1964955
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 91/505, 2314/3891?
Answer: GCF of Numerators as per given numbers 91/505, 2314/3891 is
GCF of Numerators i.e. for 91,2314 is 13
LCM of denominators i.e. for 505,3891 is 1964955.
Thus, GCF of Fractions is 13/1964955.Finally, GCF of Fractions for 91/505, 2314/3891 is 13/1964955.