Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 514/564,556/191
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 514,556
Greatest Common Factor of Numerators i.e. GCF of 514,556 is 2 .
LCM of Denominators means LCM of 564,191 as per the given fractions.
LCM of 564,191 is 107724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 514,556
2 | 514, 556 |
257, 278 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 514,556 . The biggest common factor number is the GCF number.
So the greatest common factor 514,556 is 2.
Lets's calculate LCM of 564,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 107724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107724
Therefore, the GCF of Fractions 514/564,556/191 is 2/107724
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 564,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,191) x common factors =1 x 1 = 1
LCM(564,191) = ( 564 × 191 ) / 1
LCM(564,191) = 107724 / 1
LCM(564,191) = 107724
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 514/564, 556/191?
Answer: GCF of Numerators as per given numbers 514/564, 556/191 is
GCF of Numerators i.e. for 514,556 is 2
LCM of denominators i.e. for 564,191 is 107724.
Thus, GCF of Fractions is 2/107724.Finally, GCF of Fractions for 514/564, 556/191 is 2/107724.