Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/16,271/11,784/16
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 779,271,784
Greatest Common Factor of Numerators i.e. GCF of 779,271,784 is 1 .
LCM of Denominators means LCM of 16,11,16 as per the given fractions.
LCM of 16,11,16 is 176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 779,271,784
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 779,271,784 . The biggest common factor number is the GCF number.
So the greatest common factor 779,271,784 is 1.
Lets's calculate LCM of 16,11,16
2 | 16, 11, 16 |
2 | 8, 11, 8 |
2 | 4, 11, 4 |
2 | 2, 11, 2 |
1, 11, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 11 x 1 = 176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176
Therefore, the GCF of Fractions 779/16,271/11,784/16 is 1/176
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 16,11,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,11,16) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(16,11,16) x common factors =1 x 16 = 16
LCM(16,11,16) = ( 16 × 11 × 16 ) / 16
LCM(16,11,16) = 2816 / 16
LCM(16,11,16) = 176
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 779/16, 271/11, 784/16?
Answer: GCF of Numerators as per given numbers 779/16, 271/11, 784/16 is
GCF of Numerators i.e. for 779,271,784 is 1
LCM of denominators i.e. for 16,11,16 is 176.
Thus, GCF of Fractions is 1/176.Finally, GCF of Fractions for 779/16, 271/11, 784/16 is 1/176.