Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 404/484,773/913
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 404,773
Greatest Common Factor of Numerators i.e. GCF of 404,773 is 1 .
LCM of Denominators means LCM of 484,913 as per the given fractions.
LCM of 484,913 is 40172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 404,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 404,773 . The biggest common factor number is the GCF number.
So the greatest common factor 404,773 is 1.
Lets's calculate LCM of 484,913
11 | 484, 913 |
44, 83 |
∴ So the LCM of the given numbers is 11 x 44 x 83 = 40172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40172
Therefore, the GCF of Fractions 404/484,773/913 is 1/40172
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 484,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,913) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(484,913) x common factors =11 x 1 = 11
LCM(484,913) = ( 484 × 913 ) / 11
LCM(484,913) = 441892 / 11
LCM(484,913) = 40172
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 404/484, 773/913?
Answer: GCF of Numerators as per given numbers 404/484, 773/913 is
GCF of Numerators i.e. for 404,773 is 1
LCM of denominators i.e. for 484,913 is 40172.
Thus, GCF of Fractions is 1/40172.Finally, GCF of Fractions for 404/484, 773/913 is 1/40172.