Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/827,406/254
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 451,406
Greatest Common Factor of Numerators i.e. GCF of 451,406 is 1 .
LCM of Denominators means LCM of 827,254 as per the given fractions.
LCM of 827,254 is 210058 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 451,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 451,406 . The biggest common factor number is the GCF number.
So the greatest common factor 451,406 is 1.
Lets's calculate LCM of 827,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 210058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210058
Therefore, the GCF of Fractions 451/827,406/254 is 1/210058
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 827,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,254) x common factors =1 x 1 = 1
LCM(827,254) = ( 827 × 254 ) / 1
LCM(827,254) = 210058 / 1
LCM(827,254) = 210058
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 451/827, 406/254?
Answer: GCF of Numerators as per given numbers 451/827, 406/254 is
GCF of Numerators i.e. for 451,406 is 1
LCM of denominators i.e. for 827,254 is 210058.
Thus, GCF of Fractions is 1/210058.Finally, GCF of Fractions for 451/827, 406/254 is 1/210058.