Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7038/33,3671/923
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 7038,3671
Greatest Common Factor of Numerators i.e. GCF of 7038,3671 is 1 .
LCM of Denominators means LCM of 33,923 as per the given fractions.
LCM of 33,923 is 30459 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7038,3671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7038
List of positive integer factors of 7038 that divides 7038 without a remainder.
1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Factors of 3671
List of positive integer factors of 3671 that divides 3671 without a remainder.
1,3671
Greatest Common Factor
We found the factors 7038,3671 . The biggest common factor number is the GCF number.
So the greatest common factor 7038,3671 is 1.
Lets's calculate LCM of 33,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 30459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30459
Therefore, the GCF of Fractions 7038/33,3671/923 is 1/30459
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 33,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,923) x common factors =1 x 1 = 1
LCM(33,923) = ( 33 × 923 ) / 1
LCM(33,923) = 30459 / 1
LCM(33,923) = 30459
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 7038/33, 3671/923?
Answer: GCF of Numerators as per given numbers 7038/33, 3671/923 is
GCF of Numerators i.e. for 7038,3671 is 1
LCM of denominators i.e. for 33,923 is 30459.
Thus, GCF of Fractions is 1/30459.Finally, GCF of Fractions for 7038/33, 3671/923 is 1/30459.