Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 580/67,474/11,336/594
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 580,474,336
Greatest Common Factor of Numerators i.e. GCF of 580,474,336 is 2 .
LCM of Denominators means LCM of 67,11,594 as per the given fractions.
LCM of 67,11,594 is 39798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 580,474,336
2 | 580, 474, 336 |
290, 237, 168 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 580,474,336 . The biggest common factor number is the GCF number.
So the greatest common factor 580,474,336 is 2.
Lets's calculate LCM of 67,11,594
11 | 67, 11, 594 |
67, 1, 54 |
∴ So the LCM of the given numbers is 11 x 67 x 1 x 54 = 39798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39798
Therefore, the GCF of Fractions 580/67,474/11,336/594 is 2/39798
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 67,11,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,11,594) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(67,11,594) x common factors =1 x 11 = 11
LCM(67,11,594) = ( 67 × 11 × 594 ) / 11
LCM(67,11,594) = 437778 / 11
LCM(67,11,594) = 39798
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 580/67, 474/11, 336/594?
Answer: GCF of Numerators as per given numbers 580/67, 474/11, 336/594 is
GCF of Numerators i.e. for 580,474,336 is 2
LCM of denominators i.e. for 67,11,594 is 39798.
Thus, GCF of Fractions is 2/39798.Finally, GCF of Fractions for 580/67, 474/11, 336/594 is 2/39798.