Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9384/956,3535/442
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 9384,3535
Greatest Common Factor of Numerators i.e. GCF of 9384,3535 is 1 .
LCM of Denominators means LCM of 956,442 as per the given fractions.
LCM of 956,442 is 211276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9384,3535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9384
List of positive integer factors of 9384 that divides 9384 without a remainder.
1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384
Factors of 3535
List of positive integer factors of 3535 that divides 3535 without a remainder.
1,5,7,35,101,505,707,3535
Greatest Common Factor
We found the factors 9384,3535 . The biggest common factor number is the GCF number.
So the greatest common factor 9384,3535 is 1.
Lets's calculate LCM of 956,442
2 | 956, 442 |
478, 221 |
∴ So the LCM of the given numbers is 2 x 478 x 221 = 211276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211276
Therefore, the GCF of Fractions 9384/956,3535/442 is 1/211276
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 956,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(956,442) x common factors =2 x 1 = 2
LCM(956,442) = ( 956 × 442 ) / 2
LCM(956,442) = 422552 / 2
LCM(956,442) = 211276
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 9384/956, 3535/442?
Answer: GCF of Numerators as per given numbers 9384/956, 3535/442 is
GCF of Numerators i.e. for 9384,3535 is 1
LCM of denominators i.e. for 956,442 is 211276.
Thus, GCF of Fractions is 1/211276.Finally, GCF of Fractions for 9384/956, 3535/442 is 1/211276.