Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9364/607,9318/3119
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 9364,9318
Greatest Common Factor of Numerators i.e. GCF of 9364,9318 is 2 .
LCM of Denominators means LCM of 607,3119 as per the given fractions.
LCM of 607,3119 is 1893233 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9364,9318
2 | 9364, 9318 |
4682, 4659 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9364
List of positive integer factors of 9364 that divides 9364 without a remainder.
1,2,4,2341,4682,9364
Factors of 9318
List of positive integer factors of 9318 that divides 9318 without a remainder.
1,2,3,6,1553,3106,4659,9318
Greatest Common Factor
We found the factors 9364,9318 . The biggest common factor number is the GCF number.
So the greatest common factor 9364,9318 is 2.
Lets's calculate LCM of 607,3119
Given numbers has no common factors except 1. So, there LCM is their product i.e 1893233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1893233
Therefore, the GCF of Fractions 9364/607,9318/3119 is 2/1893233
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 607,3119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,3119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,3119) x common factors =1 x 1 = 1
LCM(607,3119) = ( 607 × 3119 ) / 1
LCM(607,3119) = 1893233 / 1
LCM(607,3119) = 1893233
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 9364/607, 9318/3119?
Answer: GCF of Numerators as per given numbers 9364/607, 9318/3119 is
GCF of Numerators i.e. for 9364,9318 is 2
LCM of denominators i.e. for 607,3119 is 1893233.
Thus, GCF of Fractions is 2/1893233.Finally, GCF of Fractions for 9364/607, 9318/3119 is 2/1893233.