Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9468/307,1481/4922
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 9468,1481
Greatest Common Factor of Numerators i.e. GCF of 9468,1481 is 1 .
LCM of Denominators means LCM of 307,4922 as per the given fractions.
LCM of 307,4922 is 1511054 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9468,1481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9468
List of positive integer factors of 9468 that divides 9468 without a remainder.
1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468
Factors of 1481
List of positive integer factors of 1481 that divides 1481 without a remainder.
1,1481
Greatest Common Factor
We found the factors 9468,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 9468,1481 is 1.
Lets's calculate LCM of 307,4922
Given numbers has no common factors except 1. So, there LCM is their product i.e 1511054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1511054
Therefore, the GCF of Fractions 9468/307,1481/4922 is 1/1511054
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 307,4922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,4922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,4922) x common factors =1 x 1 = 1
LCM(307,4922) = ( 307 × 4922 ) / 1
LCM(307,4922) = 1511054 / 1
LCM(307,4922) = 1511054
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 9468/307, 1481/4922?
Answer: GCF of Numerators as per given numbers 9468/307, 1481/4922 is
GCF of Numerators i.e. for 9468,1481 is 1
LCM of denominators i.e. for 307,4922 is 1511054.
Thus, GCF of Fractions is 1/1511054.Finally, GCF of Fractions for 9468/307, 1481/4922 is 1/1511054.