Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8508/393,2193/254
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 8508,2193
Greatest Common Factor of Numerators i.e. GCF of 8508,2193 is 3 .
LCM of Denominators means LCM of 393,254 as per the given fractions.
LCM of 393,254 is 99822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8508,2193
3 | 8508, 2193 |
2836, 731 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8508
List of positive integer factors of 8508 that divides 8508 without a remainder.
1,2,3,4,6,12,709,1418,2127,2836,4254,8508
Factors of 2193
List of positive integer factors of 2193 that divides 2193 without a remainder.
1,3,17,43,51,129,731,2193
Greatest Common Factor
We found the factors 8508,2193 . The biggest common factor number is the GCF number.
So the greatest common factor 8508,2193 is 3.
Lets's calculate LCM of 393,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 99822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/99822
Therefore, the GCF of Fractions 8508/393,2193/254 is 3/99822
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 393,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,254) x common factors =1 x 1 = 1
LCM(393,254) = ( 393 × 254 ) / 1
LCM(393,254) = 99822 / 1
LCM(393,254) = 99822
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 8508/393, 2193/254?
Answer: GCF of Numerators as per given numbers 8508/393, 2193/254 is
GCF of Numerators i.e. for 8508,2193 is 3
LCM of denominators i.e. for 393,254 is 99822.
Thus, GCF of Fractions is 3/99822.Finally, GCF of Fractions for 8508/393, 2193/254 is 3/99822.