Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9595/357,1884/2687
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 9595,1884
Greatest Common Factor of Numerators i.e. GCF of 9595,1884 is 1 .
LCM of Denominators means LCM of 357,2687 as per the given fractions.
LCM of 357,2687 is 959259 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9595,1884
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9595
List of positive integer factors of 9595 that divides 9595 without a remainder.
1,5,19,95,101,505,1919,9595
Factors of 1884
List of positive integer factors of 1884 that divides 1884 without a remainder.
1,2,3,4,6,12,157,314,471,628,942,1884
Greatest Common Factor
We found the factors 9595,1884 . The biggest common factor number is the GCF number.
So the greatest common factor 9595,1884 is 1.
Lets's calculate LCM of 357,2687
Given numbers has no common factors except 1. So, there LCM is their product i.e 959259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/959259
Therefore, the GCF of Fractions 9595/357,1884/2687 is 1/959259
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 357,2687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,2687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,2687) x common factors =1 x 1 = 1
LCM(357,2687) = ( 357 × 2687 ) / 1
LCM(357,2687) = 959259 / 1
LCM(357,2687) = 959259
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 9595/357, 1884/2687?
Answer: GCF of Numerators as per given numbers 9595/357, 1884/2687 is
GCF of Numerators i.e. for 9595,1884 is 1
LCM of denominators i.e. for 357,2687 is 959259.
Thus, GCF of Fractions is 1/959259.Finally, GCF of Fractions for 9595/357, 1884/2687 is 1/959259.