Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 327/8207,595/8953
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 327,595
Greatest Common Factor of Numerators i.e. GCF of 327,595 is 1 .
LCM of Denominators means LCM of 8207,8953 as per the given fractions.
LCM of 8207,8953 is 73477271 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 327,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 327,595 . The biggest common factor number is the GCF number.
So the greatest common factor 327,595 is 1.
Lets's calculate LCM of 8207,8953
Given numbers has no common factors except 1. So, there LCM is their product i.e 73477271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73477271
Therefore, the GCF of Fractions 327/8207,595/8953 is 1/73477271
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 8207,8953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8207,8953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8207,8953) x common factors =1 x 1 = 1
LCM(8207,8953) = ( 8207 × 8953 ) / 1
LCM(8207,8953) = 73477271 / 1
LCM(8207,8953) = 73477271
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 327/8207, 595/8953?
Answer: GCF of Numerators as per given numbers 327/8207, 595/8953 is
GCF of Numerators i.e. for 327,595 is 1
LCM of denominators i.e. for 8207,8953 is 73477271.
Thus, GCF of Fractions is 1/73477271.Finally, GCF of Fractions for 327/8207, 595/8953 is 1/73477271.