Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 723/526,4032/913
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 723,4032
Greatest Common Factor of Numerators i.e. GCF of 723,4032 is 3 .
LCM of Denominators means LCM of 526,913 as per the given fractions.
LCM of 526,913 is 480238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 723,4032
3 | 723, 4032 |
241, 1344 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 4032
List of positive integer factors of 4032 that divides 4032 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032
Greatest Common Factor
We found the factors 723,4032 . The biggest common factor number is the GCF number.
So the greatest common factor 723,4032 is 3.
Lets's calculate LCM of 526,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 480238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/480238
Therefore, the GCF of Fractions 723/526,4032/913 is 3/480238
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 526,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,913) x common factors =1 x 1 = 1
LCM(526,913) = ( 526 × 913 ) / 1
LCM(526,913) = 480238 / 1
LCM(526,913) = 480238
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 723/526, 4032/913?
Answer: GCF of Numerators as per given numbers 723/526, 4032/913 is
GCF of Numerators i.e. for 723,4032 is 3
LCM of denominators i.e. for 526,913 is 480238.
Thus, GCF of Fractions is 3/480238.Finally, GCF of Fractions for 723/526, 4032/913 is 3/480238.