Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2680/446,1174/9327
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 2680,1174
Greatest Common Factor of Numerators i.e. GCF of 2680,1174 is 2 .
LCM of Denominators means LCM of 446,9327 as per the given fractions.
LCM of 446,9327 is 4159842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2680,1174
2 | 2680, 1174 |
1340, 587 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2680
List of positive integer factors of 2680 that divides 2680 without a remainder.
1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680
Factors of 1174
List of positive integer factors of 1174 that divides 1174 without a remainder.
1,2,587,1174
Greatest Common Factor
We found the factors 2680,1174 . The biggest common factor number is the GCF number.
So the greatest common factor 2680,1174 is 2.
Lets's calculate LCM of 446,9327
Given numbers has no common factors except 1. So, there LCM is their product i.e 4159842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4159842
Therefore, the GCF of Fractions 2680/446,1174/9327 is 2/4159842
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 446,9327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,9327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,9327) x common factors =1 x 1 = 1
LCM(446,9327) = ( 446 × 9327 ) / 1
LCM(446,9327) = 4159842 / 1
LCM(446,9327) = 4159842
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 2680/446, 1174/9327?
Answer: GCF of Numerators as per given numbers 2680/446, 1174/9327 is
GCF of Numerators i.e. for 2680,1174 is 2
LCM of denominators i.e. for 446,9327 is 4159842.
Thus, GCF of Fractions is 2/4159842.Finally, GCF of Fractions for 2680/446, 1174/9327 is 2/4159842.