Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/607,189/741,905/446
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 941,189,905
Greatest Common Factor of Numerators i.e. GCF of 941,189,905 is 1 .
LCM of Denominators means LCM of 607,741,446 as per the given fractions.
LCM of 607,741,446 is 200605002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 941,189,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
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 941,189,905 . The biggest common factor number is the GCF number.
So the greatest common factor 941,189,905 is 1.
Lets's calculate LCM of 607,741,446
Given numbers has no common factors except 1. So, there LCM is their product i.e 200605002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200605002
Therefore, the GCF of Fractions 941/607,189/741,905/446 is 1/200605002
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 607,741,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,741,446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,741,446) x common factors =1 x 1 = 1
LCM(607,741,446) = ( 607 × 741 × 446 ) / 1
LCM(607,741,446) = 200605002 / 1
LCM(607,741,446) = 200605002
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 941/607, 189/741, 905/446?
Answer: GCF of Numerators as per given numbers 941/607, 189/741, 905/446 is
GCF of Numerators i.e. for 941,189,905 is 1
LCM of denominators i.e. for 607,741,446 is 200605002.
Thus, GCF of Fractions is 1/200605002.Finally, GCF of Fractions for 941/607, 189/741, 905/446 is 1/200605002.