Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8280/16,7390/439
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 8280,7390
Greatest Common Factor of Numerators i.e. GCF of 8280,7390 is 10 .
LCM of Denominators means LCM of 16,439 as per the given fractions.
LCM of 16,439 is 7024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8280,7390
2 | 8280, 7390 |
5 | 4140, 3695 |
828, 739 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 8280
List of positive integer factors of 8280 that divides 8280 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Factors of 7390
List of positive integer factors of 7390 that divides 7390 without a remainder.
1,2,5,10,739,1478,3695,7390
Greatest Common Factor
We found the factors 8280,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,7390 is 10.
Lets's calculate LCM of 16,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 7024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7024
Therefore, the GCF of Fractions 8280/16,7390/439 is 10/7024
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 16,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,439) x common factors =1 x 1 = 1
LCM(16,439) = ( 16 × 439 ) / 1
LCM(16,439) = 7024 / 1
LCM(16,439) = 7024
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 8280/16, 7390/439?
Answer: GCF of Numerators as per given numbers 8280/16, 7390/439 is
GCF of Numerators i.e. for 8280,7390 is 10
LCM of denominators i.e. for 16,439 is 7024.
Thus, GCF of Fractions is 10/7024.Finally, GCF of Fractions for 8280/16, 7390/439 is 10/7024.