Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 775/100,3336/923
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 775,3336
Greatest Common Factor of Numerators i.e. GCF of 775,3336 is 1 .
LCM of Denominators means LCM of 100,923 as per the given fractions.
LCM of 100,923 is 92300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 775,3336
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 3336
List of positive integer factors of 3336 that divides 3336 without a remainder.
1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336
Greatest Common Factor
We found the factors 775,3336 . The biggest common factor number is the GCF number.
So the greatest common factor 775,3336 is 1.
Lets's calculate LCM of 100,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 92300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92300
Therefore, the GCF of Fractions 775/100,3336/923 is 1/92300
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 100,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,923) x common factors =1 x 1 = 1
LCM(100,923) = ( 100 × 923 ) / 1
LCM(100,923) = 92300 / 1
LCM(100,923) = 92300
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 775/100, 3336/923?
Answer: GCF of Numerators as per given numbers 775/100, 3336/923 is
GCF of Numerators i.e. for 775,3336 is 1
LCM of denominators i.e. for 100,923 is 92300.
Thus, GCF of Fractions is 1/92300.Finally, GCF of Fractions for 775/100, 3336/923 is 1/92300.