Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1202/37,8773/249
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 1202,8773
Greatest Common Factor of Numerators i.e. GCF of 1202,8773 is 1 .
LCM of Denominators means LCM of 37,249 as per the given fractions.
LCM of 37,249 is 9213 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1202,8773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1202
List of positive integer factors of 1202 that divides 1202 without a remainder.
1,2,601,1202
Factors of 8773
List of positive integer factors of 8773 that divides 8773 without a remainder.
1,31,283,8773
Greatest Common Factor
We found the factors 1202,8773 . The biggest common factor number is the GCF number.
So the greatest common factor 1202,8773 is 1.
Lets's calculate LCM of 37,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 9213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9213
Therefore, the GCF of Fractions 1202/37,8773/249 is 1/9213
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 37,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,249) x common factors =1 x 1 = 1
LCM(37,249) = ( 37 × 249 ) / 1
LCM(37,249) = 9213 / 1
LCM(37,249) = 9213
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 1202/37, 8773/249?
Answer: GCF of Numerators as per given numbers 1202/37, 8773/249 is
GCF of Numerators i.e. for 1202,8773 is 1
LCM of denominators i.e. for 37,249 is 9213.
Thus, GCF of Fractions is 1/9213.Finally, GCF of Fractions for 1202/37, 8773/249 is 1/9213.