Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3177/535,8043/483
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 3177,8043
Greatest Common Factor of Numerators i.e. GCF of 3177,8043 is 3 .
LCM of Denominators means LCM of 535,483 as per the given fractions.
LCM of 535,483 is 258405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3177,8043
3 | 3177, 8043 |
1059, 2681 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3177
List of positive integer factors of 3177 that divides 3177 without a remainder.
1,3,9,353,1059,3177
Factors of 8043
List of positive integer factors of 8043 that divides 8043 without a remainder.
1,3,7,21,383,1149,2681,8043
Greatest Common Factor
We found the factors 3177,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 3177,8043 is 3.
Lets's calculate LCM of 535,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 258405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/258405
Therefore, the GCF of Fractions 3177/535,8043/483 is 3/258405
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 535,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,483) x common factors =1 x 1 = 1
LCM(535,483) = ( 535 × 483 ) / 1
LCM(535,483) = 258405 / 1
LCM(535,483) = 258405
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 3177/535, 8043/483?
Answer: GCF of Numerators as per given numbers 3177/535, 8043/483 is
GCF of Numerators i.e. for 3177,8043 is 3
LCM of denominators i.e. for 535,483 is 258405.
Thus, GCF of Fractions is 3/258405.Finally, GCF of Fractions for 3177/535, 8043/483 is 3/258405.