Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/438,690/228,413/911
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 768,690,413
Greatest Common Factor of Numerators i.e. GCF of 768,690,413 is 1 .
LCM of Denominators means LCM of 438,228,911 as per the given fractions.
LCM of 438,228,911 is 15162684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 768,690,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 768,690,413 . The biggest common factor number is the GCF number.
So the greatest common factor 768,690,413 is 1.
Lets's calculate LCM of 438,228,911
2 | 438, 228, 911 |
3 | 219, 114, 911 |
73, 38, 911 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 38 x 911 = 15162684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15162684
Therefore, the GCF of Fractions 768/438,690/228,413/911 is 1/15162684
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 438,228,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,228,911) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(438,228,911) x common factors =1 x 6 = 6
LCM(438,228,911) = ( 438 × 228 × 911 ) / 6
LCM(438,228,911) = 90976104 / 6
LCM(438,228,911) = 15162684
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 768/438, 690/228, 413/911?
Answer: GCF of Numerators as per given numbers 768/438, 690/228, 413/911 is
GCF of Numerators i.e. for 768,690,413 is 1
LCM of denominators i.e. for 438,228,911 is 15162684.
Thus, GCF of Fractions is 1/15162684.Finally, GCF of Fractions for 768/438, 690/228, 413/911 is 1/15162684.