Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 476/270,196/334
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 476,196
Greatest Common Factor of Numerators i.e. GCF of 476,196 is 28 .
LCM of Denominators means LCM of 270,334 as per the given fractions.
LCM of 270,334 is 45090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 476,196
2 | 476, 196 |
2 | 238, 98 |
7 | 119, 49 |
17, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 476,196 . The biggest common factor number is the GCF number.
So the greatest common factor 476,196 is 28.
Lets's calculate LCM of 270,334
2 | 270, 334 |
135, 167 |
∴ So the LCM of the given numbers is 2 x 135 x 167 = 45090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/45090
Therefore, the GCF of Fractions 476/270,196/334 is 28/45090
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 270,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,334) x common factors =2 x 1 = 2
LCM(270,334) = ( 270 × 334 ) / 2
LCM(270,334) = 90180 / 2
LCM(270,334) = 45090
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 476/270, 196/334?
Answer: GCF of Numerators as per given numbers 476/270, 196/334 is
GCF of Numerators i.e. for 476,196 is 28
LCM of denominators i.e. for 270,334 is 45090.
Thus, GCF of Fractions is 28/45090.Finally, GCF of Fractions for 476/270, 196/334 is 28/45090.