Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3181/71,9972/828
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 3181,9972
Greatest Common Factor of Numerators i.e. GCF of 3181,9972 is 1 .
LCM of Denominators means LCM of 71,828 as per the given fractions.
LCM of 71,828 is 58788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3181,9972
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3181
List of positive integer factors of 3181 that divides 3181 without a remainder.
1,3181
Factors of 9972
List of positive integer factors of 9972 that divides 9972 without a remainder.
1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Greatest Common Factor
We found the factors 3181,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 3181,9972 is 1.
Lets's calculate LCM of 71,828
Given numbers has no common factors except 1. So, there LCM is their product i.e 58788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58788
Therefore, the GCF of Fractions 3181/71,9972/828 is 1/58788
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 71,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,828) x common factors =1 x 1 = 1
LCM(71,828) = ( 71 × 828 ) / 1
LCM(71,828) = 58788 / 1
LCM(71,828) = 58788
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 3181/71, 9972/828?
Answer: GCF of Numerators as per given numbers 3181/71, 9972/828 is
GCF of Numerators i.e. for 3181,9972 is 1
LCM of denominators i.e. for 71,828 is 58788.
Thus, GCF of Fractions is 1/58788.Finally, GCF of Fractions for 3181/71, 9972/828 is 1/58788.