Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/719,7890/325
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 720,7890
Greatest Common Factor of Numerators i.e. GCF of 720,7890 is 30 .
LCM of Denominators means LCM of 719,325 as per the given fractions.
LCM of 719,325 is 233675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 720,7890
2 | 720, 7890 |
3 | 360, 3945 |
5 | 120, 1315 |
24, 263 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 7890
List of positive integer factors of 7890 that divides 7890 without a remainder.
1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 720,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 720,7890 is 30.
Lets's calculate LCM of 719,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 233675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/233675
Therefore, the GCF of Fractions 720/719,7890/325 is 30/233675
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 719,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,325) x common factors =1 x 1 = 1
LCM(719,325) = ( 719 × 325 ) / 1
LCM(719,325) = 233675 / 1
LCM(719,325) = 233675
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 720/719, 7890/325?
Answer: GCF of Numerators as per given numbers 720/719, 7890/325 is
GCF of Numerators i.e. for 720,7890 is 30
LCM of denominators i.e. for 719,325 is 233675.
Thus, GCF of Fractions is 30/233675.Finally, GCF of Fractions for 720/719, 7890/325 is 30/233675.