Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6632/23,3075/380
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 6632,3075
Greatest Common Factor of Numerators i.e. GCF of 6632,3075 is 1 .
LCM of Denominators means LCM of 23,380 as per the given fractions.
LCM of 23,380 is 8740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6632,3075
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6632
List of positive integer factors of 6632 that divides 6632 without a remainder.
1,2,4,8,829,1658,3316,6632
Factors of 3075
List of positive integer factors of 3075 that divides 3075 without a remainder.
1,3,5,15,25,41,75,123,205,615,1025,3075
Greatest Common Factor
We found the factors 6632,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 6632,3075 is 1.
Lets's calculate LCM of 23,380
Given numbers has no common factors except 1. So, there LCM is their product i.e 8740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8740
Therefore, the GCF of Fractions 6632/23,3075/380 is 1/8740
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 23,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,380) x common factors =1 x 1 = 1
LCM(23,380) = ( 23 × 380 ) / 1
LCM(23,380) = 8740 / 1
LCM(23,380) = 8740
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 6632/23, 3075/380?
Answer: GCF of Numerators as per given numbers 6632/23, 3075/380 is
GCF of Numerators i.e. for 6632,3075 is 1
LCM of denominators i.e. for 23,380 is 8740.
Thus, GCF of Fractions is 1/8740.Finally, GCF of Fractions for 6632/23, 3075/380 is 1/8740.