Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 515/802,9972/5091
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 515,9972
Greatest Common Factor of Numerators i.e. GCF of 515,9972 is 1 .
LCM of Denominators means LCM of 802,5091 as per the given fractions.
LCM of 802,5091 is 4082982 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 515,9972
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
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 515,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 515,9972 is 1.
Lets's calculate LCM of 802,5091
Given numbers has no common factors except 1. So, there LCM is their product i.e 4082982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4082982
Therefore, the GCF of Fractions 515/802,9972/5091 is 1/4082982
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 802,5091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,5091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,5091) x common factors =1 x 1 = 1
LCM(802,5091) = ( 802 × 5091 ) / 1
LCM(802,5091) = 4082982 / 1
LCM(802,5091) = 4082982
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 515/802, 9972/5091?
Answer: GCF of Numerators as per given numbers 515/802, 9972/5091 is
GCF of Numerators i.e. for 515,9972 is 1
LCM of denominators i.e. for 802,5091 is 4082982.
Thus, GCF of Fractions is 1/4082982.Finally, GCF of Fractions for 515/802, 9972/5091 is 1/4082982.