Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8730/40,2872/205
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 8730,2872
Greatest Common Factor of Numerators i.e. GCF of 8730,2872 is 2 .
LCM of Denominators means LCM of 40,205 as per the given fractions.
LCM of 40,205 is 1640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8730,2872
2 | 8730, 2872 |
4365, 1436 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8730
List of positive integer factors of 8730 that divides 8730 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90,97,194,291,485,582,873,970,1455,1746,2910,4365,8730
Factors of 2872
List of positive integer factors of 2872 that divides 2872 without a remainder.
1,2,4,8,359,718,1436,2872
Greatest Common Factor
We found the factors 8730,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 8730,2872 is 2.
Lets's calculate LCM of 40,205
5 | 40, 205 |
8, 41 |
∴ So the LCM of the given numbers is 5 x 8 x 41 = 1640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1640
Therefore, the GCF of Fractions 8730/40,2872/205 is 2/1640
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 40,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(40,205) x common factors =5 x 1 = 5
LCM(40,205) = ( 40 × 205 ) / 5
LCM(40,205) = 8200 / 5
LCM(40,205) = 1640
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 8730/40, 2872/205?
Answer: GCF of Numerators as per given numbers 8730/40, 2872/205 is
GCF of Numerators i.e. for 8730,2872 is 2
LCM of denominators i.e. for 40,205 is 1640.
Thus, GCF of Fractions is 2/1640.Finally, GCF of Fractions for 8730/40, 2872/205 is 2/1640.