Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 437/133,9826/1488
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 437,9826
Greatest Common Factor of Numerators i.e. GCF of 437,9826 is 1 .
LCM of Denominators means LCM of 133,1488 as per the given fractions.
LCM of 133,1488 is 197904 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 437,9826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 9826
List of positive integer factors of 9826 that divides 9826 without a remainder.
1,2,17,34,289,578,4913,9826
Greatest Common Factor
We found the factors 437,9826 . The biggest common factor number is the GCF number.
So the greatest common factor 437,9826 is 1.
Lets's calculate LCM of 133,1488
Given numbers has no common factors except 1. So, there LCM is their product i.e 197904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197904
Therefore, the GCF of Fractions 437/133,9826/1488 is 1/197904
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 133,1488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,1488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,1488) x common factors =1 x 1 = 1
LCM(133,1488) = ( 133 × 1488 ) / 1
LCM(133,1488) = 197904 / 1
LCM(133,1488) = 197904
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 437/133, 9826/1488?
Answer: GCF of Numerators as per given numbers 437/133, 9826/1488 is
GCF of Numerators i.e. for 437,9826 is 1
LCM of denominators i.e. for 133,1488 is 197904.
Thus, GCF of Fractions is 1/197904.Finally, GCF of Fractions for 437/133, 9826/1488 is 1/197904.