Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/240,9736/298
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 354,9736
Greatest Common Factor of Numerators i.e. GCF of 354,9736 is 2 .
LCM of Denominators means LCM of 240,298 as per the given fractions.
LCM of 240,298 is 35760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 354,9736
2 | 354, 9736 |
177, 4868 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 9736
List of positive integer factors of 9736 that divides 9736 without a remainder.
1,2,4,8,1217,2434,4868,9736
Greatest Common Factor
We found the factors 354,9736 . The biggest common factor number is the GCF number.
So the greatest common factor 354,9736 is 2.
Lets's calculate LCM of 240,298
2 | 240, 298 |
120, 149 |
∴ So the LCM of the given numbers is 2 x 120 x 149 = 35760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35760
Therefore, the GCF of Fractions 354/240,9736/298 is 2/35760
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 240,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(240,298) x common factors =2 x 1 = 2
LCM(240,298) = ( 240 × 298 ) / 2
LCM(240,298) = 71520 / 2
LCM(240,298) = 35760
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 354/240, 9736/298?
Answer: GCF of Numerators as per given numbers 354/240, 9736/298 is
GCF of Numerators i.e. for 354,9736 is 2
LCM of denominators i.e. for 240,298 is 35760.
Thus, GCF of Fractions is 2/35760.Finally, GCF of Fractions for 354/240, 9736/298 is 2/35760.