Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 926/120,522/214,291/394
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 926,522,291
Greatest Common Factor of Numerators i.e. GCF of 926,522,291 is 1 .
LCM of Denominators means LCM of 120,214,394 as per the given fractions.
LCM of 120,214,394 is 2529480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 926,522,291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 926,522,291 . The biggest common factor number is the GCF number.
So the greatest common factor 926,522,291 is 1.
Lets's calculate LCM of 120,214,394
2 | 120, 214, 394 |
60, 107, 197 |
∴ So the LCM of the given numbers is 2 x 60 x 107 x 197 = 2529480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2529480
Therefore, the GCF of Fractions 926/120,522/214,291/394 is 1/2529480
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 120,214,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,214,394) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(120,214,394) x common factors =2 x 2 = 4
LCM(120,214,394) = ( 120 × 214 × 394 ) / 4
LCM(120,214,394) = 10117920 / 4
LCM(120,214,394) = 2529480
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 926/120, 522/214, 291/394?
Answer: GCF of Numerators as per given numbers 926/120, 522/214, 291/394 is
GCF of Numerators i.e. for 926,522,291 is 1
LCM of denominators i.e. for 120,214,394 is 2529480.
Thus, GCF of Fractions is 1/2529480.Finally, GCF of Fractions for 926/120, 522/214, 291/394 is 1/2529480.