Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3000/413,4572/3313
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 3000,4572
Greatest Common Factor of Numerators i.e. GCF of 3000,4572 is 12 .
LCM of Denominators means LCM of 413,3313 as per the given fractions.
LCM of 413,3313 is 1368269 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3000,4572
2 | 3000, 4572 |
2 | 1500, 2286 |
3 | 750, 1143 |
250, 381 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 3000
List of positive integer factors of 3000 that divides 3000 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000
Factors of 4572
List of positive integer factors of 4572 that divides 4572 without a remainder.
1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572
Greatest Common Factor
We found the factors 3000,4572 . The biggest common factor number is the GCF number.
So the greatest common factor 3000,4572 is 12.
Lets's calculate LCM of 413,3313
Given numbers has no common factors except 1. So, there LCM is their product i.e 1368269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1368269
Therefore, the GCF of Fractions 3000/413,4572/3313 is 12/1368269
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 413,3313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,3313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,3313) x common factors =1 x 1 = 1
LCM(413,3313) = ( 413 × 3313 ) / 1
LCM(413,3313) = 1368269 / 1
LCM(413,3313) = 1368269
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 3000/413, 4572/3313?
Answer: GCF of Numerators as per given numbers 3000/413, 4572/3313 is
GCF of Numerators i.e. for 3000,4572 is 12
LCM of denominators i.e. for 413,3313 is 1368269.
Thus, GCF of Fractions is 12/1368269.Finally, GCF of Fractions for 3000/413, 4572/3313 is 12/1368269.