Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/16,464/54,362/20
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 7,464,362
Greatest Common Factor of Numerators i.e. GCF of 7,464,362 is 1 .
LCM of Denominators means LCM of 16,54,20 as per the given fractions.
LCM of 16,54,20 is 2160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,464,362
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 7,464,362 . The biggest common factor number is the GCF number.
So the greatest common factor 7,464,362 is 1.
Lets's calculate LCM of 16,54,20
2 | 16, 54, 20 |
2 | 8, 27, 10 |
4, 27, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 27 x 5 = 2160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160
Therefore, the GCF of Fractions 7/16,464/54,362/20 is 1/2160
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 16,54,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,54,20) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(16,54,20) x common factors =2 x 4 = 8
LCM(16,54,20) = ( 16 × 54 × 20 ) / 8
LCM(16,54,20) = 17280 / 8
LCM(16,54,20) = 2160
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 7/16, 464/54, 362/20?
Answer: GCF of Numerators as per given numbers 7/16, 464/54, 362/20 is
GCF of Numerators i.e. for 7,464,362 is 1
LCM of denominators i.e. for 16,54,20 is 2160.
Thus, GCF of Fractions is 1/2160.Finally, GCF of Fractions for 7/16, 464/54, 362/20 is 1/2160.