Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/417,790/428,161/257
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 54,790,161
Greatest Common Factor of Numerators i.e. GCF of 54,790,161 is 1 .
LCM of Denominators means LCM of 417,428,257 as per the given fractions.
LCM of 417,428,257 is 45868332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,790,161
∴ 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 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 54,790,161 . The biggest common factor number is the GCF number.
So the greatest common factor 54,790,161 is 1.
Lets's calculate LCM of 417,428,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 45868332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45868332
Therefore, the GCF of Fractions 54/417,790/428,161/257 is 1/45868332
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 417,428,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,428,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,428,257) x common factors =1 x 1 = 1
LCM(417,428,257) = ( 417 × 428 × 257 ) / 1
LCM(417,428,257) = 45868332 / 1
LCM(417,428,257) = 45868332
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 54/417, 790/428, 161/257?
Answer: GCF of Numerators as per given numbers 54/417, 790/428, 161/257 is
GCF of Numerators i.e. for 54,790,161 is 1
LCM of denominators i.e. for 417,428,257 is 45868332.
Thus, GCF of Fractions is 1/45868332.Finally, GCF of Fractions for 54/417, 790/428, 161/257 is 1/45868332.