Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/98,361/18,324/461
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 54,361,324
Greatest Common Factor of Numerators i.e. GCF of 54,361,324 is 1 .
LCM of Denominators means LCM of 98,18,461 as per the given fractions.
LCM of 98,18,461 is 406602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,361,324
∴ So GCF of numbers is 1 because of no common factors present between them.
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 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 54,361,324 . The biggest common factor number is the GCF number.
So the greatest common factor 54,361,324 is 1.
Lets's calculate LCM of 98,18,461
2 | 98, 18, 461 |
49, 9, 461 |
∴ So the LCM of the given numbers is 2 x 49 x 9 x 461 = 406602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406602
Therefore, the GCF of Fractions 54/98,361/18,324/461 is 1/406602
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 98,18,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,18,461) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,18,461) x common factors =1 x 2 = 2
LCM(98,18,461) = ( 98 × 18 × 461 ) / 2
LCM(98,18,461) = 813204 / 2
LCM(98,18,461) = 406602
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 54/98, 361/18, 324/461?
Answer: GCF of Numerators as per given numbers 54/98, 361/18, 324/461 is
GCF of Numerators i.e. for 54,361,324 is 1
LCM of denominators i.e. for 98,18,461 is 406602.
Thus, GCF of Fractions is 1/406602.Finally, GCF of Fractions for 54/98, 361/18, 324/461 is 1/406602.