Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 463/414,9161/661
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 463,9161
Greatest Common Factor of Numerators i.e. GCF of 463,9161 is 1 .
LCM of Denominators means LCM of 414,661 as per the given fractions.
LCM of 414,661 is 273654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 463,9161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 9161
List of positive integer factors of 9161 that divides 9161 without a remainder.
1,9161
Greatest Common Factor
We found the factors 463,9161 . The biggest common factor number is the GCF number.
So the greatest common factor 463,9161 is 1.
Lets's calculate LCM of 414,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 273654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273654
Therefore, the GCF of Fractions 463/414,9161/661 is 1/273654
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 414,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,661) x common factors =1 x 1 = 1
LCM(414,661) = ( 414 × 661 ) / 1
LCM(414,661) = 273654 / 1
LCM(414,661) = 273654
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 463/414, 9161/661?
Answer: GCF of Numerators as per given numbers 463/414, 9161/661 is
GCF of Numerators i.e. for 463,9161 is 1
LCM of denominators i.e. for 414,661 is 273654.
Thus, GCF of Fractions is 1/273654.Finally, GCF of Fractions for 463/414, 9161/661 is 1/273654.