Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9184/52,9133/765
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 9184,9133
Greatest Common Factor of Numerators i.e. GCF of 9184,9133 is 1 .
LCM of Denominators means LCM of 52,765 as per the given fractions.
LCM of 52,765 is 39780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9184,9133
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9184
List of positive integer factors of 9184 that divides 9184 without a remainder.
1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184
Factors of 9133
List of positive integer factors of 9133 that divides 9133 without a remainder.
1,9133
Greatest Common Factor
We found the factors 9184,9133 . The biggest common factor number is the GCF number.
So the greatest common factor 9184,9133 is 1.
Lets's calculate LCM of 52,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 39780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39780
Therefore, the GCF of Fractions 9184/52,9133/765 is 1/39780
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 52,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,765) x common factors =1 x 1 = 1
LCM(52,765) = ( 52 × 765 ) / 1
LCM(52,765) = 39780 / 1
LCM(52,765) = 39780
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 9184/52, 9133/765?
Answer: GCF of Numerators as per given numbers 9184/52, 9133/765 is
GCF of Numerators i.e. for 9184,9133 is 1
LCM of denominators i.e. for 52,765 is 39780.
Thus, GCF of Fractions is 1/39780.Finally, GCF of Fractions for 9184/52, 9133/765 is 1/39780.