Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 974/86,905/4439
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 974,905
Greatest Common Factor of Numerators i.e. GCF of 974,905 is 1 .
LCM of Denominators means LCM of 86,4439 as per the given fractions.
LCM of 86,4439 is 381754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 974,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 974,905 . The biggest common factor number is the GCF number.
So the greatest common factor 974,905 is 1.
Lets's calculate LCM of 86,4439
Given numbers has no common factors except 1. So, there LCM is their product i.e 381754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381754
Therefore, the GCF of Fractions 974/86,905/4439 is 1/381754
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 86,4439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,4439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,4439) x common factors =1 x 1 = 1
LCM(86,4439) = ( 86 × 4439 ) / 1
LCM(86,4439) = 381754 / 1
LCM(86,4439) = 381754
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 974/86, 905/4439?
Answer: GCF of Numerators as per given numbers 974/86, 905/4439 is
GCF of Numerators i.e. for 974,905 is 1
LCM of denominators i.e. for 86,4439 is 381754.
Thus, GCF of Fractions is 1/381754.Finally, GCF of Fractions for 974/86, 905/4439 is 1/381754.