Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/55,904/3106
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 913,904
Greatest Common Factor of Numerators i.e. GCF of 913,904 is 1 .
LCM of Denominators means LCM of 55,3106 as per the given fractions.
LCM of 55,3106 is 170830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 913,904
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 913,904 . The biggest common factor number is the GCF number.
So the greatest common factor 913,904 is 1.
Lets's calculate LCM of 55,3106
Given numbers has no common factors except 1. So, there LCM is their product i.e 170830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170830
Therefore, the GCF of Fractions 913/55,904/3106 is 1/170830
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 55,3106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,3106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,3106) x common factors =1 x 1 = 1
LCM(55,3106) = ( 55 × 3106 ) / 1
LCM(55,3106) = 170830 / 1
LCM(55,3106) = 170830
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 913/55, 904/3106?
Answer: GCF of Numerators as per given numbers 913/55, 904/3106 is
GCF of Numerators i.e. for 913,904 is 1
LCM of denominators i.e. for 55,3106 is 170830.
Thus, GCF of Fractions is 1/170830.Finally, GCF of Fractions for 913/55, 904/3106 is 1/170830.