Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1483/603,4933/1253
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 1483,4933
Greatest Common Factor of Numerators i.e. GCF of 1483,4933 is 1 .
LCM of Denominators means LCM of 603,1253 as per the given fractions.
LCM of 603,1253 is 755559 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1483,4933
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1483
List of positive integer factors of 1483 that divides 1483 without a remainder.
1,1483
Factors of 4933
List of positive integer factors of 4933 that divides 4933 without a remainder.
1,4933
Greatest Common Factor
We found the factors 1483,4933 . The biggest common factor number is the GCF number.
So the greatest common factor 1483,4933 is 1.
Lets's calculate LCM of 603,1253
Given numbers has no common factors except 1. So, there LCM is their product i.e 755559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755559
Therefore, the GCF of Fractions 1483/603,4933/1253 is 1/755559
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 603,1253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,1253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,1253) x common factors =1 x 1 = 1
LCM(603,1253) = ( 603 × 1253 ) / 1
LCM(603,1253) = 755559 / 1
LCM(603,1253) = 755559
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 1483/603, 4933/1253?
Answer: GCF of Numerators as per given numbers 1483/603, 4933/1253 is
GCF of Numerators i.e. for 1483,4933 is 1
LCM of denominators i.e. for 603,1253 is 755559.
Thus, GCF of Fractions is 1/755559.Finally, GCF of Fractions for 1483/603, 4933/1253 is 1/755559.