Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6297/172,8168/5555
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 6297,8168
Greatest Common Factor of Numerators i.e. GCF of 6297,8168 is 1 .
LCM of Denominators means LCM of 172,5555 as per the given fractions.
LCM of 172,5555 is 955460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6297,8168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6297
List of positive integer factors of 6297 that divides 6297 without a remainder.
1,3,2099,6297
Factors of 8168
List of positive integer factors of 8168 that divides 8168 without a remainder.
1,2,4,8,1021,2042,4084,8168
Greatest Common Factor
We found the factors 6297,8168 . The biggest common factor number is the GCF number.
So the greatest common factor 6297,8168 is 1.
Lets's calculate LCM of 172,5555
Given numbers has no common factors except 1. So, there LCM is their product i.e 955460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/955460
Therefore, the GCF of Fractions 6297/172,8168/5555 is 1/955460
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 172,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,5555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,5555) x common factors =1 x 1 = 1
LCM(172,5555) = ( 172 × 5555 ) / 1
LCM(172,5555) = 955460 / 1
LCM(172,5555) = 955460
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 6297/172, 8168/5555?
Answer: GCF of Numerators as per given numbers 6297/172, 8168/5555 is
GCF of Numerators i.e. for 6297,8168 is 1
LCM of denominators i.e. for 172,5555 is 955460.
Thus, GCF of Fractions is 1/955460.Finally, GCF of Fractions for 6297/172, 8168/5555 is 1/955460.