Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/208,468/279
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 54,468
Greatest Common Factor of Numerators i.e. GCF of 54,468 is 18 .
LCM of Denominators means LCM of 208,279 as per the given fractions.
LCM of 208,279 is 58032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,468
2 | 54, 468 |
3 | 27, 234 |
3 | 9, 78 |
3, 26 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 54,468 . The biggest common factor number is the GCF number.
So the greatest common factor 54,468 is 18.
Lets's calculate LCM of 208,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 58032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/58032
Therefore, the GCF of Fractions 54/208,468/279 is 18/58032
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 208,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,279) x common factors =1 x 1 = 1
LCM(208,279) = ( 208 × 279 ) / 1
LCM(208,279) = 58032 / 1
LCM(208,279) = 58032
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 54/208, 468/279?
Answer: GCF of Numerators as per given numbers 54/208, 468/279 is
GCF of Numerators i.e. for 54,468 is 18
LCM of denominators i.e. for 208,279 is 58032.
Thus, GCF of Fractions is 18/58032.Finally, GCF of Fractions for 54/208, 468/279 is 18/58032.