Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/22,777/5325
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 494,777
Greatest Common Factor of Numerators i.e. GCF of 494,777 is 1 .
LCM of Denominators means LCM of 22,5325 as per the given fractions.
LCM of 22,5325 is 117150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 494,777 . The biggest common factor number is the GCF number.
So the greatest common factor 494,777 is 1.
Lets's calculate LCM of 22,5325
Given numbers has no common factors except 1. So, there LCM is their product i.e 117150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117150
Therefore, the GCF of Fractions 494/22,777/5325 is 1/117150
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 22,5325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,5325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,5325) x common factors =1 x 1 = 1
LCM(22,5325) = ( 22 × 5325 ) / 1
LCM(22,5325) = 117150 / 1
LCM(22,5325) = 117150
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 494/22, 777/5325?
Answer: GCF of Numerators as per given numbers 494/22, 777/5325 is
GCF of Numerators i.e. for 494,777 is 1
LCM of denominators i.e. for 22,5325 is 117150.
Thus, GCF of Fractions is 1/117150.Finally, GCF of Fractions for 494/22, 777/5325 is 1/117150.