Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 622/29,720/9599
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 622,720
Greatest Common Factor of Numerators i.e. GCF of 622,720 is 2 .
LCM of Denominators means LCM of 29,9599 as per the given fractions.
LCM of 29,9599 is 9599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 622,720
2 | 622, 720 |
311, 360 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
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
Greatest Common Factor
We found the factors 622,720 . The biggest common factor number is the GCF number.
So the greatest common factor 622,720 is 2.
Lets's calculate LCM of 29,9599
29 | 29, 9599 |
1, 331 |
∴ So the LCM of the given numbers is 29 x 1 x 331 = 9599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9599
Therefore, the GCF of Fractions 622/29,720/9599 is 2/9599
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 29,9599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,9599) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(29,9599) x common factors =29 x 1 = 29
LCM(29,9599) = ( 29 × 9599 ) / 29
LCM(29,9599) = 278371 / 29
LCM(29,9599) = 9599
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 622/29, 720/9599?
Answer: GCF of Numerators as per given numbers 622/29, 720/9599 is
GCF of Numerators i.e. for 622,720 is 2
LCM of denominators i.e. for 29,9599 is 9599.
Thus, GCF of Fractions is 2/9599.Finally, GCF of Fractions for 622/29, 720/9599 is 2/9599.