Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8950/323,2370/607
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 8950,2370
Greatest Common Factor of Numerators i.e. GCF of 8950,2370 is 10 .
LCM of Denominators means LCM of 323,607 as per the given fractions.
LCM of 323,607 is 196061 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8950,2370
2 | 8950, 2370 |
5 | 4475, 1185 |
895, 237 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 8950
List of positive integer factors of 8950 that divides 8950 without a remainder.
1,2,5,10,25,50,179,358,895,1790,4475,8950
Factors of 2370
List of positive integer factors of 2370 that divides 2370 without a remainder.
1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors 8950,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 8950,2370 is 10.
Lets's calculate LCM of 323,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 196061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/196061
Therefore, the GCF of Fractions 8950/323,2370/607 is 10/196061
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 323,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,607) x common factors =1 x 1 = 1
LCM(323,607) = ( 323 × 607 ) / 1
LCM(323,607) = 196061 / 1
LCM(323,607) = 196061
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 8950/323, 2370/607?
Answer: GCF of Numerators as per given numbers 8950/323, 2370/607 is
GCF of Numerators i.e. for 8950,2370 is 10
LCM of denominators i.e. for 323,607 is 196061.
Thus, GCF of Fractions is 10/196061.Finally, GCF of Fractions for 8950/323, 2370/607 is 10/196061.