Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 514/107,369/228,589/499
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 514,369,589
Greatest Common Factor of Numerators i.e. GCF of 514,369,589 is 1 .
LCM of Denominators means LCM of 107,228,499 as per the given fractions.
LCM of 107,228,499 is 12173604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 514,369,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 514,369,589 . The biggest common factor number is the GCF number.
So the greatest common factor 514,369,589 is 1.
Lets's calculate LCM of 107,228,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 12173604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12173604
Therefore, the GCF of Fractions 514/107,369/228,589/499 is 1/12173604
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 107,228,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,228,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,228,499) x common factors =1 x 1 = 1
LCM(107,228,499) = ( 107 × 228 × 499 ) / 1
LCM(107,228,499) = 12173604 / 1
LCM(107,228,499) = 12173604
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 514/107, 369/228, 589/499?
Answer: GCF of Numerators as per given numbers 514/107, 369/228, 589/499 is
GCF of Numerators i.e. for 514,369,589 is 1
LCM of denominators i.e. for 107,228,499 is 12173604.
Thus, GCF of Fractions is 1/12173604.Finally, GCF of Fractions for 514/107, 369/228, 589/499 is 1/12173604.