Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/987,9138/425
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 297,9138
Greatest Common Factor of Numerators i.e. GCF of 297,9138 is 3 .
LCM of Denominators means LCM of 987,425 as per the given fractions.
LCM of 987,425 is 419475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,9138
3 | 297, 9138 |
99, 3046 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 9138
List of positive integer factors of 9138 that divides 9138 without a remainder.
1,2,3,6,1523,3046,4569,9138
Greatest Common Factor
We found the factors 297,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 297,9138 is 3.
Lets's calculate LCM of 987,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 419475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/419475
Therefore, the GCF of Fractions 297/987,9138/425 is 3/419475
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 987,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,425) x common factors =1 x 1 = 1
LCM(987,425) = ( 987 × 425 ) / 1
LCM(987,425) = 419475 / 1
LCM(987,425) = 419475
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 297/987, 9138/425?
Answer: GCF of Numerators as per given numbers 297/987, 9138/425 is
GCF of Numerators i.e. for 297,9138 is 3
LCM of denominators i.e. for 987,425 is 419475.
Thus, GCF of Fractions is 3/419475.Finally, GCF of Fractions for 297/987, 9138/425 is 3/419475.