Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9074/195,1461/1054
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 9074,1461
Greatest Common Factor of Numerators i.e. GCF of 9074,1461 is 1 .
LCM of Denominators means LCM of 195,1054 as per the given fractions.
LCM of 195,1054 is 205530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9074,1461
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9074
List of positive integer factors of 9074 that divides 9074 without a remainder.
1,2,13,26,349,698,4537,9074
Factors of 1461
List of positive integer factors of 1461 that divides 1461 without a remainder.
1,3,487,1461
Greatest Common Factor
We found the factors 9074,1461 . The biggest common factor number is the GCF number.
So the greatest common factor 9074,1461 is 1.
Lets's calculate LCM of 195,1054
Given numbers has no common factors except 1. So, there LCM is their product i.e 205530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205530
Therefore, the GCF of Fractions 9074/195,1461/1054 is 1/205530
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 195,1054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,1054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(195,1054) x common factors =1 x 1 = 1
LCM(195,1054) = ( 195 × 1054 ) / 1
LCM(195,1054) = 205530 / 1
LCM(195,1054) = 205530
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 9074/195, 1461/1054?
Answer: GCF of Numerators as per given numbers 9074/195, 1461/1054 is
GCF of Numerators i.e. for 9074,1461 is 1
LCM of denominators i.e. for 195,1054 is 205530.
Thus, GCF of Fractions is 1/205530.Finally, GCF of Fractions for 9074/195, 1461/1054 is 1/205530.