Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1825/302,5664/1089
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 1825,5664
Greatest Common Factor of Numerators i.e. GCF of 1825,5664 is 1 .
LCM of Denominators means LCM of 302,1089 as per the given fractions.
LCM of 302,1089 is 328878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1825,5664
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1825
List of positive integer factors of 1825 that divides 1825 without a remainder.
1,5,25,73,365,1825
Factors of 5664
List of positive integer factors of 5664 that divides 5664 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Greatest Common Factor
We found the factors 1825,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 1825,5664 is 1.
Lets's calculate LCM of 302,1089
Given numbers has no common factors except 1. So, there LCM is their product i.e 328878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328878
Therefore, the GCF of Fractions 1825/302,5664/1089 is 1/328878
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 302,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,1089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,1089) x common factors =1 x 1 = 1
LCM(302,1089) = ( 302 × 1089 ) / 1
LCM(302,1089) = 328878 / 1
LCM(302,1089) = 328878
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 1825/302, 5664/1089?
Answer: GCF of Numerators as per given numbers 1825/302, 5664/1089 is
GCF of Numerators i.e. for 1825,5664 is 1
LCM of denominators i.e. for 302,1089 is 328878.
Thus, GCF of Fractions is 1/328878.Finally, GCF of Fractions for 1825/302, 5664/1089 is 1/328878.