Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/66,393/14,283/684
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 302,393,283
Greatest Common Factor of Numerators i.e. GCF of 302,393,283 is 1 .
LCM of Denominators means LCM of 66,14,684 as per the given fractions.
LCM of 66,14,684 is 52668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 302,393,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 302,393,283 . The biggest common factor number is the GCF number.
So the greatest common factor 302,393,283 is 1.
Lets's calculate LCM of 66,14,684
2 | 66, 14, 684 |
3 | 33, 7, 342 |
11, 7, 114 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 114 = 52668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52668
Therefore, the GCF of Fractions 302/66,393/14,283/684 is 1/52668
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 66,14,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,14,684) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(66,14,684) x common factors =2 x 6 = 12
LCM(66,14,684) = ( 66 × 14 × 684 ) / 12
LCM(66,14,684) = 632016 / 12
LCM(66,14,684) = 52668
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 302/66, 393/14, 283/684?
Answer: GCF of Numerators as per given numbers 302/66, 393/14, 283/684 is
GCF of Numerators i.e. for 302,393,283 is 1
LCM of denominators i.e. for 66,14,684 is 52668.
Thus, GCF of Fractions is 1/52668.Finally, GCF of Fractions for 302/66, 393/14, 283/684 is 1/52668.