Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9841/301,2978/158
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 9841,2978
Greatest Common Factor of Numerators i.e. GCF of 9841,2978 is 1 .
LCM of Denominators means LCM of 301,158 as per the given fractions.
LCM of 301,158 is 47558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9841,2978
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9841
List of positive integer factors of 9841 that divides 9841 without a remainder.
1,13,757,9841
Factors of 2978
List of positive integer factors of 2978 that divides 2978 without a remainder.
1,2,1489,2978
Greatest Common Factor
We found the factors 9841,2978 . The biggest common factor number is the GCF number.
So the greatest common factor 9841,2978 is 1.
Lets's calculate LCM of 301,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 47558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47558
Therefore, the GCF of Fractions 9841/301,2978/158 is 1/47558
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 301,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,158) x common factors =1 x 1 = 1
LCM(301,158) = ( 301 × 158 ) / 1
LCM(301,158) = 47558 / 1
LCM(301,158) = 47558
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 9841/301, 2978/158?
Answer: GCF of Numerators as per given numbers 9841/301, 2978/158 is
GCF of Numerators i.e. for 9841,2978 is 1
LCM of denominators i.e. for 301,158 is 47558.
Thus, GCF of Fractions is 1/47558.Finally, GCF of Fractions for 9841/301, 2978/158 is 1/47558.