Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5140/189,3774/760
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 5140,3774
Greatest Common Factor of Numerators i.e. GCF of 5140,3774 is 2 .
LCM of Denominators means LCM of 189,760 as per the given fractions.
LCM of 189,760 is 143640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5140,3774
2 | 5140, 3774 |
2570, 1887 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5140
List of positive integer factors of 5140 that divides 5140 without a remainder.
1,2,4,5,10,20,257,514,1028,1285,2570,5140
Factors of 3774
List of positive integer factors of 3774 that divides 3774 without a remainder.
1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774
Greatest Common Factor
We found the factors 5140,3774 . The biggest common factor number is the GCF number.
So the greatest common factor 5140,3774 is 2.
Lets's calculate LCM of 189,760
Given numbers has no common factors except 1. So, there LCM is their product i.e 143640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143640
Therefore, the GCF of Fractions 5140/189,3774/760 is 2/143640
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 189,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,760) x common factors =1 x 1 = 1
LCM(189,760) = ( 189 × 760 ) / 1
LCM(189,760) = 143640 / 1
LCM(189,760) = 143640
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 5140/189, 3774/760?
Answer: GCF of Numerators as per given numbers 5140/189, 3774/760 is
GCF of Numerators i.e. for 5140,3774 is 2
LCM of denominators i.e. for 189,760 is 143640.
Thus, GCF of Fractions is 2/143640.Finally, GCF of Fractions for 5140/189, 3774/760 is 2/143640.