Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 419/797,672/815,197/499
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 419,672,197
Greatest Common Factor of Numerators i.e. GCF of 419,672,197 is 1 .
LCM of Denominators means LCM of 797,815,499 as per the given fractions.
LCM of 797,815,499 is 324127945 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 419,672,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 419,672,197 . The biggest common factor number is the GCF number.
So the greatest common factor 419,672,197 is 1.
Lets's calculate LCM of 797,815,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 324127945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324127945
Therefore, the GCF of Fractions 419/797,672/815,197/499 is 1/324127945
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 797,815,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,815,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,815,499) x common factors =1 x 1 = 1
LCM(797,815,499) = ( 797 × 815 × 499 ) / 1
LCM(797,815,499) = 324127945 / 1
LCM(797,815,499) = 324127945
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 419/797, 672/815, 197/499?
Answer: GCF of Numerators as per given numbers 419/797, 672/815, 197/499 is
GCF of Numerators i.e. for 419,672,197 is 1
LCM of denominators i.e. for 797,815,499 is 324127945.
Thus, GCF of Fractions is 1/324127945.Finally, GCF of Fractions for 419/797, 672/815, 197/499 is 1/324127945.