Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 282/233,346/232
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 282,346
Greatest Common Factor of Numerators i.e. GCF of 282,346 is 2 .
LCM of Denominators means LCM of 233,232 as per the given fractions.
LCM of 233,232 is 54056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 282,346
2 | 282, 346 |
141, 173 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 282,346 . The biggest common factor number is the GCF number.
So the greatest common factor 282,346 is 2.
Lets's calculate LCM of 233,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 54056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54056
Therefore, the GCF of Fractions 282/233,346/232 is 2/54056
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 233,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,232) x common factors =1 x 1 = 1
LCM(233,232) = ( 233 × 232 ) / 1
LCM(233,232) = 54056 / 1
LCM(233,232) = 54056
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 282/233, 346/232?
Answer: GCF of Numerators as per given numbers 282/233, 346/232 is
GCF of Numerators i.e. for 282,346 is 2
LCM of denominators i.e. for 233,232 is 54056.
Thus, GCF of Fractions is 2/54056.Finally, GCF of Fractions for 282/233, 346/232 is 2/54056.