Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/250,943/423
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 483,943
Greatest Common Factor of Numerators i.e. GCF of 483,943 is 23 .
LCM of Denominators means LCM of 250,423 as per the given fractions.
LCM of 250,423 is 105750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 483,943
23 | 483, 943 |
21, 41 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Greatest Common Factor
We found the factors 483,943 . The biggest common factor number is the GCF number.
So the greatest common factor 483,943 is 23.
Lets's calculate LCM of 250,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 105750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/105750
Therefore, the GCF of Fractions 483/250,943/423 is 23/105750
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 250,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,423) x common factors =1 x 1 = 1
LCM(250,423) = ( 250 × 423 ) / 1
LCM(250,423) = 105750 / 1
LCM(250,423) = 105750
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 483/250, 943/423?
Answer: GCF of Numerators as per given numbers 483/250, 943/423 is
GCF of Numerators i.e. for 483,943 is 23
LCM of denominators i.e. for 250,423 is 105750.
Thus, GCF of Fractions is 23/105750.Finally, GCF of Fractions for 483/250, 943/423 is 23/105750.