Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9242/980,6609/275
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 9242,6609
Greatest Common Factor of Numerators i.e. GCF of 9242,6609 is 1 .
LCM of Denominators means LCM of 980,275 as per the given fractions.
LCM of 980,275 is 53900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9242,6609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9242
List of positive integer factors of 9242 that divides 9242 without a remainder.
1,2,4621,9242
Factors of 6609
List of positive integer factors of 6609 that divides 6609 without a remainder.
1,3,2203,6609
Greatest Common Factor
We found the factors 9242,6609 . The biggest common factor number is the GCF number.
So the greatest common factor 9242,6609 is 1.
Lets's calculate LCM of 980,275
5 | 980, 275 |
196, 55 |
∴ So the LCM of the given numbers is 5 x 196 x 55 = 53900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53900
Therefore, the GCF of Fractions 9242/980,6609/275 is 1/53900
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 980,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,275) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(980,275) x common factors =5 x 1 = 5
LCM(980,275) = ( 980 × 275 ) / 5
LCM(980,275) = 269500 / 5
LCM(980,275) = 53900
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 9242/980, 6609/275?
Answer: GCF of Numerators as per given numbers 9242/980, 6609/275 is
GCF of Numerators i.e. for 9242,6609 is 1
LCM of denominators i.e. for 980,275 is 53900.
Thus, GCF of Fractions is 1/53900.Finally, GCF of Fractions for 9242/980, 6609/275 is 1/53900.