Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/84,498/887
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 483,498
Greatest Common Factor of Numerators i.e. GCF of 483,498 is 3 .
LCM of Denominators means LCM of 84,887 as per the given fractions.
LCM of 84,887 is 74508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 483,498
3 | 483, 498 |
161, 166 |
∴ So the GCF of the given numbers is 3 = 3
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 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 483,498 . The biggest common factor number is the GCF number.
So the greatest common factor 483,498 is 3.
Lets's calculate LCM of 84,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 74508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74508
Therefore, the GCF of Fractions 483/84,498/887 is 3/74508
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 84,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,887) x common factors =1 x 1 = 1
LCM(84,887) = ( 84 × 887 ) / 1
LCM(84,887) = 74508 / 1
LCM(84,887) = 74508
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 483/84, 498/887?
Answer: GCF of Numerators as per given numbers 483/84, 498/887 is
GCF of Numerators i.e. for 483,498 is 3
LCM of denominators i.e. for 84,887 is 74508.
Thus, GCF of Fractions is 3/74508.Finally, GCF of Fractions for 483/84, 498/887 is 3/74508.