Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/367,3425/8803
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 254,3425
Greatest Common Factor of Numerators i.e. GCF of 254,3425 is 1 .
LCM of Denominators means LCM of 367,8803 as per the given fractions.
LCM of 367,8803 is 3230701 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,3425
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 3425
List of positive integer factors of 3425 that divides 3425 without a remainder.
1,5,25,137,685,3425
Greatest Common Factor
We found the factors 254,3425 . The biggest common factor number is the GCF number.
So the greatest common factor 254,3425 is 1.
Lets's calculate LCM of 367,8803
Given numbers has no common factors except 1. So, there LCM is their product i.e 3230701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3230701
Therefore, the GCF of Fractions 254/367,3425/8803 is 1/3230701
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 367,8803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,8803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,8803) x common factors =1 x 1 = 1
LCM(367,8803) = ( 367 × 8803 ) / 1
LCM(367,8803) = 3230701 / 1
LCM(367,8803) = 3230701
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 254/367, 3425/8803?
Answer: GCF of Numerators as per given numbers 254/367, 3425/8803 is
GCF of Numerators i.e. for 254,3425 is 1
LCM of denominators i.e. for 367,8803 is 3230701.
Thus, GCF of Fractions is 1/3230701.Finally, GCF of Fractions for 254/367, 3425/8803 is 1/3230701.