Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6067/329,8057/902
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 6067,8057
Greatest Common Factor of Numerators i.e. GCF of 6067,8057 is 1 .
LCM of Denominators means LCM of 329,902 as per the given fractions.
LCM of 329,902 is 296758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6067,8057
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6067
List of positive integer factors of 6067 that divides 6067 without a remainder.
1,6067
Factors of 8057
List of positive integer factors of 8057 that divides 8057 without a remainder.
1,7,1151,8057
Greatest Common Factor
We found the factors 6067,8057 . The biggest common factor number is the GCF number.
So the greatest common factor 6067,8057 is 1.
Lets's calculate LCM of 329,902
Given numbers has no common factors except 1. So, there LCM is their product i.e 296758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296758
Therefore, the GCF of Fractions 6067/329,8057/902 is 1/296758
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 329,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,902) x common factors =1 x 1 = 1
LCM(329,902) = ( 329 × 902 ) / 1
LCM(329,902) = 296758 / 1
LCM(329,902) = 296758
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 6067/329, 8057/902?
Answer: GCF of Numerators as per given numbers 6067/329, 8057/902 is
GCF of Numerators i.e. for 6067,8057 is 1
LCM of denominators i.e. for 329,902 is 296758.
Thus, GCF of Fractions is 1/296758.Finally, GCF of Fractions for 6067/329, 8057/902 is 1/296758.