Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4499/369,3932/1808
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 4499,3932
Greatest Common Factor of Numerators i.e. GCF of 4499,3932 is 1 .
LCM of Denominators means LCM of 369,1808 as per the given fractions.
LCM of 369,1808 is 667152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4499,3932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4499
List of positive integer factors of 4499 that divides 4499 without a remainder.
1,11,409,4499
Factors of 3932
List of positive integer factors of 3932 that divides 3932 without a remainder.
1,2,4,983,1966,3932
Greatest Common Factor
We found the factors 4499,3932 . The biggest common factor number is the GCF number.
So the greatest common factor 4499,3932 is 1.
Lets's calculate LCM of 369,1808
Given numbers has no common factors except 1. So, there LCM is their product i.e 667152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667152
Therefore, the GCF of Fractions 4499/369,3932/1808 is 1/667152
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 369,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,1808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,1808) x common factors =1 x 1 = 1
LCM(369,1808) = ( 369 × 1808 ) / 1
LCM(369,1808) = 667152 / 1
LCM(369,1808) = 667152
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 4499/369, 3932/1808?
Answer: GCF of Numerators as per given numbers 4499/369, 3932/1808 is
GCF of Numerators i.e. for 4499,3932 is 1
LCM of denominators i.e. for 369,1808 is 667152.
Thus, GCF of Fractions is 1/667152.Finally, GCF of Fractions for 4499/369, 3932/1808 is 1/667152.