Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3150/588,4842/5845
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 3150,4842
Greatest Common Factor of Numerators i.e. GCF of 3150,4842 is 18 .
LCM of Denominators means LCM of 588,5845 as per the given fractions.
LCM of 588,5845 is 490980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3150,4842
2 | 3150, 4842 |
3 | 1575, 2421 |
3 | 525, 807 |
175, 269 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 3150
List of positive integer factors of 3150 that divides 3150 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Factors of 4842
List of positive integer factors of 4842 that divides 4842 without a remainder.
1,2,3,6,9,18,269,538,807,1614,2421,4842
Greatest Common Factor
We found the factors 3150,4842 . The biggest common factor number is the GCF number.
So the greatest common factor 3150,4842 is 18.
Lets's calculate LCM of 588,5845
7 | 588, 5845 |
84, 835 |
∴ So the LCM of the given numbers is 7 x 84 x 835 = 490980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/490980
Therefore, the GCF of Fractions 3150/588,4842/5845 is 18/490980
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 588,5845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,5845) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(588,5845) x common factors =7 x 1 = 7
LCM(588,5845) = ( 588 × 5845 ) / 7
LCM(588,5845) = 3436860 / 7
LCM(588,5845) = 490980
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 3150/588, 4842/5845?
Answer: GCF of Numerators as per given numbers 3150/588, 4842/5845 is
GCF of Numerators i.e. for 3150,4842 is 18
LCM of denominators i.e. for 588,5845 is 490980.
Thus, GCF of Fractions is 18/490980.Finally, GCF of Fractions for 3150/588, 4842/5845 is 18/490980.