Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9061/20,2255/711
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 9061,2255
Greatest Common Factor of Numerators i.e. GCF of 9061,2255 is 41 .
LCM of Denominators means LCM of 20,711 as per the given fractions.
LCM of 20,711 is 14220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9061,2255
41 | 9061, 2255 |
221, 55 |
∴ So the GCF of the given numbers is 41 = 41
Factors of 9061
List of positive integer factors of 9061 that divides 9061 without a remainder.
1,13,17,41,221,533,697,9061
Factors of 2255
List of positive integer factors of 2255 that divides 2255 without a remainder.
1,5,11,41,55,205,451,2255
Greatest Common Factor
We found the factors 9061,2255 . The biggest common factor number is the GCF number.
So the greatest common factor 9061,2255 is 41.
Lets's calculate LCM of 20,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 14220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/14220
Therefore, the GCF of Fractions 9061/20,2255/711 is 41/14220
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 20,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,711) x common factors =1 x 1 = 1
LCM(20,711) = ( 20 × 711 ) / 1
LCM(20,711) = 14220 / 1
LCM(20,711) = 14220
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 9061/20, 2255/711?
Answer: GCF of Numerators as per given numbers 9061/20, 2255/711 is
GCF of Numerators i.e. for 9061,2255 is 41
LCM of denominators i.e. for 20,711 is 14220.
Thus, GCF of Fractions is 41/14220.Finally, GCF of Fractions for 9061/20, 2255/711 is 41/14220.