Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8945/889,2471/3902
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 8945,2471
Greatest Common Factor of Numerators i.e. GCF of 8945,2471 is 1 .
LCM of Denominators means LCM of 889,3902 as per the given fractions.
LCM of 889,3902 is 3468878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8945,2471
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8945
List of positive integer factors of 8945 that divides 8945 without a remainder.
1,5,1789,8945
Factors of 2471
List of positive integer factors of 2471 that divides 2471 without a remainder.
1,7,353,2471
Greatest Common Factor
We found the factors 8945,2471 . The biggest common factor number is the GCF number.
So the greatest common factor 8945,2471 is 1.
Lets's calculate LCM of 889,3902
Given numbers has no common factors except 1. So, there LCM is their product i.e 3468878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3468878
Therefore, the GCF of Fractions 8945/889,2471/3902 is 1/3468878
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 889,3902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,3902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,3902) x common factors =1 x 1 = 1
LCM(889,3902) = ( 889 × 3902 ) / 1
LCM(889,3902) = 3468878 / 1
LCM(889,3902) = 3468878
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 8945/889, 2471/3902?
Answer: GCF of Numerators as per given numbers 8945/889, 2471/3902 is
GCF of Numerators i.e. for 8945,2471 is 1
LCM of denominators i.e. for 889,3902 is 3468878.
Thus, GCF of Fractions is 1/3468878.Finally, GCF of Fractions for 8945/889, 2471/3902 is 1/3468878.