Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8881/301,6350/5552
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 8881,6350
Greatest Common Factor of Numerators i.e. GCF of 8881,6350 is 1 .
LCM of Denominators means LCM of 301,5552 as per the given fractions.
LCM of 301,5552 is 1671152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8881,6350
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8881
List of positive integer factors of 8881 that divides 8881 without a remainder.
1,83,107,8881
Factors of 6350
List of positive integer factors of 6350 that divides 6350 without a remainder.
1,2,5,10,25,50,127,254,635,1270,3175,6350
Greatest Common Factor
We found the factors 8881,6350 . The biggest common factor number is the GCF number.
So the greatest common factor 8881,6350 is 1.
Lets's calculate LCM of 301,5552
Given numbers has no common factors except 1. So, there LCM is their product i.e 1671152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1671152
Therefore, the GCF of Fractions 8881/301,6350/5552 is 1/1671152
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 301,5552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,5552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,5552) x common factors =1 x 1 = 1
LCM(301,5552) = ( 301 × 5552 ) / 1
LCM(301,5552) = 1671152 / 1
LCM(301,5552) = 1671152
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 8881/301, 6350/5552?
Answer: GCF of Numerators as per given numbers 8881/301, 6350/5552 is
GCF of Numerators i.e. for 8881,6350 is 1
LCM of denominators i.e. for 301,5552 is 1671152.
Thus, GCF of Fractions is 1/1671152.Finally, GCF of Fractions for 8881/301, 6350/5552 is 1/1671152.