Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9004/356,9675/594
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 9004,9675
Greatest Common Factor of Numerators i.e. GCF of 9004,9675 is 1 .
LCM of Denominators means LCM of 356,594 as per the given fractions.
LCM of 356,594 is 105732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9004,9675
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9004
List of positive integer factors of 9004 that divides 9004 without a remainder.
1,2,4,2251,4502,9004
Factors of 9675
List of positive integer factors of 9675 that divides 9675 without a remainder.
1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675
Greatest Common Factor
We found the factors 9004,9675 . The biggest common factor number is the GCF number.
So the greatest common factor 9004,9675 is 1.
Lets's calculate LCM of 356,594
2 | 356, 594 |
178, 297 |
∴ So the LCM of the given numbers is 2 x 178 x 297 = 105732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105732
Therefore, the GCF of Fractions 9004/356,9675/594 is 1/105732
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 356,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(356,594) x common factors =2 x 1 = 2
LCM(356,594) = ( 356 × 594 ) / 2
LCM(356,594) = 211464 / 2
LCM(356,594) = 105732
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 9004/356, 9675/594?
Answer: GCF of Numerators as per given numbers 9004/356, 9675/594 is
GCF of Numerators i.e. for 9004,9675 is 1
LCM of denominators i.e. for 356,594 is 105732.
Thus, GCF of Fractions is 1/105732.Finally, GCF of Fractions for 9004/356, 9675/594 is 1/105732.