Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2721/362,1440/7291
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 2721,1440
Greatest Common Factor of Numerators i.e. GCF of 2721,1440 is 3 .
LCM of Denominators means LCM of 362,7291 as per the given fractions.
LCM of 362,7291 is 2639342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2721,1440
3 | 2721, 1440 |
907, 480 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2721
List of positive integer factors of 2721 that divides 2721 without a remainder.
1,3,907,2721
Factors of 1440
List of positive integer factors of 1440 that divides 1440 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors 2721,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 2721,1440 is 3.
Lets's calculate LCM of 362,7291
Given numbers has no common factors except 1. So, there LCM is their product i.e 2639342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2639342
Therefore, the GCF of Fractions 2721/362,1440/7291 is 3/2639342
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 362,7291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,7291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,7291) x common factors =1 x 1 = 1
LCM(362,7291) = ( 362 × 7291 ) / 1
LCM(362,7291) = 2639342 / 1
LCM(362,7291) = 2639342
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 2721/362, 1440/7291?
Answer: GCF of Numerators as per given numbers 2721/362, 1440/7291 is
GCF of Numerators i.e. for 2721,1440 is 3
LCM of denominators i.e. for 362,7291 is 2639342.
Thus, GCF of Fractions is 3/2639342.Finally, GCF of Fractions for 2721/362, 1440/7291 is 3/2639342.