Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/55,184/19,790/28
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 347,184,790
Greatest Common Factor of Numerators i.e. GCF of 347,184,790 is 1 .
LCM of Denominators means LCM of 55,19,28 as per the given fractions.
LCM of 55,19,28 is 29260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 347,184,790
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 347,184,790 . The biggest common factor number is the GCF number.
So the greatest common factor 347,184,790 is 1.
Lets's calculate LCM of 55,19,28
Given numbers has no common factors except 1. So, there LCM is their product i.e 29260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29260
Therefore, the GCF of Fractions 347/55,184/19,790/28 is 1/29260
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 55,19,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,19,28) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,19,28) x common factors =1 x 1 = 1
LCM(55,19,28) = ( 55 × 19 × 28 ) / 1
LCM(55,19,28) = 29260 / 1
LCM(55,19,28) = 29260
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 347/55, 184/19, 790/28?
Answer: GCF of Numerators as per given numbers 347/55, 184/19, 790/28 is
GCF of Numerators i.e. for 347,184,790 is 1
LCM of denominators i.e. for 55,19,28 is 29260.
Thus, GCF of Fractions is 1/29260.Finally, GCF of Fractions for 347/55, 184/19, 790/28 is 1/29260.