Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9901/161,7938/4553
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 9901,7938
Greatest Common Factor of Numerators i.e. GCF of 9901,7938 is 1 .
LCM of Denominators means LCM of 161,4553 as per the given fractions.
LCM of 161,4553 is 733033 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9901,7938
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9901
List of positive integer factors of 9901 that divides 9901 without a remainder.
1,9901
Factors of 7938
List of positive integer factors of 7938 that divides 7938 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938
Greatest Common Factor
We found the factors 9901,7938 . The biggest common factor number is the GCF number.
So the greatest common factor 9901,7938 is 1.
Lets's calculate LCM of 161,4553
Given numbers has no common factors except 1. So, there LCM is their product i.e 733033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/733033
Therefore, the GCF of Fractions 9901/161,7938/4553 is 1/733033
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 161,4553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,4553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,4553) x common factors =1 x 1 = 1
LCM(161,4553) = ( 161 × 4553 ) / 1
LCM(161,4553) = 733033 / 1
LCM(161,4553) = 733033
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 9901/161, 7938/4553?
Answer: GCF of Numerators as per given numbers 9901/161, 7938/4553 is
GCF of Numerators i.e. for 9901,7938 is 1
LCM of denominators i.e. for 161,4553 is 733033.
Thus, GCF of Fractions is 1/733033.Finally, GCF of Fractions for 9901/161, 7938/4553 is 1/733033.