Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8852/510,8990/2525
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 8852,8990
Greatest Common Factor of Numerators i.e. GCF of 8852,8990 is 2 .
LCM of Denominators means LCM of 510,2525 as per the given fractions.
LCM of 510,2525 is 257550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8852,8990
2 | 8852, 8990 |
4426, 4495 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8852
List of positive integer factors of 8852 that divides 8852 without a remainder.
1,2,4,2213,4426,8852
Factors of 8990
List of positive integer factors of 8990 that divides 8990 without a remainder.
1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990
Greatest Common Factor
We found the factors 8852,8990 . The biggest common factor number is the GCF number.
So the greatest common factor 8852,8990 is 2.
Lets's calculate LCM of 510,2525
5 | 510, 2525 |
102, 505 |
∴ So the LCM of the given numbers is 5 x 102 x 505 = 257550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/257550
Therefore, the GCF of Fractions 8852/510,8990/2525 is 2/257550
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 510,2525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,2525) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(510,2525) x common factors =5 x 1 = 5
LCM(510,2525) = ( 510 × 2525 ) / 5
LCM(510,2525) = 1287750 / 5
LCM(510,2525) = 257550
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 8852/510, 8990/2525?
Answer: GCF of Numerators as per given numbers 8852/510, 8990/2525 is
GCF of Numerators i.e. for 8852,8990 is 2
LCM of denominators i.e. for 510,2525 is 257550.
Thus, GCF of Fractions is 2/257550.Finally, GCF of Fractions for 8852/510, 8990/2525 is 2/257550.