Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 117/462,2229/499
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 117,2229
Greatest Common Factor of Numerators i.e. GCF of 117,2229 is 3 .
LCM of Denominators means LCM of 462,499 as per the given fractions.
LCM of 462,499 is 230538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 117,2229
3 | 117, 2229 |
39, 743 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 2229
List of positive integer factors of 2229 that divides 2229 without a remainder.
1,3,743,2229
Greatest Common Factor
We found the factors 117,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 117,2229 is 3.
Lets's calculate LCM of 462,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 230538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/230538
Therefore, the GCF of Fractions 117/462,2229/499 is 3/230538
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 462,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,499) x common factors =1 x 1 = 1
LCM(462,499) = ( 462 × 499 ) / 1
LCM(462,499) = 230538 / 1
LCM(462,499) = 230538
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 117/462, 2229/499?
Answer: GCF of Numerators as per given numbers 117/462, 2229/499 is
GCF of Numerators i.e. for 117,2229 is 3
LCM of denominators i.e. for 462,499 is 230538.
Thus, GCF of Fractions is 3/230538.Finally, GCF of Fractions for 117/462, 2229/499 is 3/230538.