Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/165,4344/1258
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 481,4344
Greatest Common Factor of Numerators i.e. GCF of 481,4344 is 1 .
LCM of Denominators means LCM of 165,1258 as per the given fractions.
LCM of 165,1258 is 207570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,4344
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 4344
List of positive integer factors of 4344 that divides 4344 without a remainder.
1,2,3,4,6,8,12,24,181,362,543,724,1086,1448,2172,4344
Greatest Common Factor
We found the factors 481,4344 . The biggest common factor number is the GCF number.
So the greatest common factor 481,4344 is 1.
Lets's calculate LCM of 165,1258
Given numbers has no common factors except 1. So, there LCM is their product i.e 207570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207570
Therefore, the GCF of Fractions 481/165,4344/1258 is 1/207570
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 165,1258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,1258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,1258) x common factors =1 x 1 = 1
LCM(165,1258) = ( 165 × 1258 ) / 1
LCM(165,1258) = 207570 / 1
LCM(165,1258) = 207570
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 481/165, 4344/1258?
Answer: GCF of Numerators as per given numbers 481/165, 4344/1258 is
GCF of Numerators i.e. for 481,4344 is 1
LCM of denominators i.e. for 165,1258 is 207570.
Thus, GCF of Fractions is 1/207570.Finally, GCF of Fractions for 481/165, 4344/1258 is 1/207570.