Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/282,7723/149
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 594,7723
Greatest Common Factor of Numerators i.e. GCF of 594,7723 is 1 .
LCM of Denominators means LCM of 282,149 as per the given fractions.
LCM of 282,149 is 42018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,7723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 7723
List of positive integer factors of 7723 that divides 7723 without a remainder.
1,7723
Greatest Common Factor
We found the factors 594,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 594,7723 is 1.
Lets's calculate LCM of 282,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 42018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42018
Therefore, the GCF of Fractions 594/282,7723/149 is 1/42018
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 282,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,149) x common factors =1 x 1 = 1
LCM(282,149) = ( 282 × 149 ) / 1
LCM(282,149) = 42018 / 1
LCM(282,149) = 42018
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 594/282, 7723/149?
Answer: GCF of Numerators as per given numbers 594/282, 7723/149 is
GCF of Numerators i.e. for 594,7723 is 1
LCM of denominators i.e. for 282,149 is 42018.
Thus, GCF of Fractions is 1/42018.Finally, GCF of Fractions for 594/282, 7723/149 is 1/42018.