Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2691/779,1080/2327
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 2691,1080
Greatest Common Factor of Numerators i.e. GCF of 2691,1080 is 9 .
LCM of Denominators means LCM of 779,2327 as per the given fractions.
LCM of 779,2327 is 1812733 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2691,1080
3 | 2691, 1080 |
3 | 897, 360 |
299, 120 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 2691
List of positive integer factors of 2691 that divides 2691 without a remainder.
1,3,9,13,23,39,69,117,207,299,897,2691
Factors of 1080
List of positive integer factors of 1080 that divides 1080 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080
Greatest Common Factor
We found the factors 2691,1080 . The biggest common factor number is the GCF number.
So the greatest common factor 2691,1080 is 9.
Lets's calculate LCM of 779,2327
Given numbers has no common factors except 1. So, there LCM is their product i.e 1812733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1812733
Therefore, the GCF of Fractions 2691/779,1080/2327 is 9/1812733
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 779,2327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,2327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,2327) x common factors =1 x 1 = 1
LCM(779,2327) = ( 779 × 2327 ) / 1
LCM(779,2327) = 1812733 / 1
LCM(779,2327) = 1812733
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 2691/779, 1080/2327?
Answer: GCF of Numerators as per given numbers 2691/779, 1080/2327 is
GCF of Numerators i.e. for 2691,1080 is 9
LCM of denominators i.e. for 779,2327 is 1812733.
Thus, GCF of Fractions is 9/1812733.Finally, GCF of Fractions for 2691/779, 1080/2327 is 9/1812733.