Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 332/80,661/6867
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 332,661
Greatest Common Factor of Numerators i.e. GCF of 332,661 is 1 .
LCM of Denominators means LCM of 80,6867 as per the given fractions.
LCM of 80,6867 is 549360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 332,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 332,661 . The biggest common factor number is the GCF number.
So the greatest common factor 332,661 is 1.
Lets's calculate LCM of 80,6867
Given numbers has no common factors except 1. So, there LCM is their product i.e 549360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549360
Therefore, the GCF of Fractions 332/80,661/6867 is 1/549360
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 80,6867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,6867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,6867) x common factors =1 x 1 = 1
LCM(80,6867) = ( 80 × 6867 ) / 1
LCM(80,6867) = 549360 / 1
LCM(80,6867) = 549360
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 332/80, 661/6867?
Answer: GCF of Numerators as per given numbers 332/80, 661/6867 is
GCF of Numerators i.e. for 332,661 is 1
LCM of denominators i.e. for 80,6867 is 549360.
Thus, GCF of Fractions is 1/549360.Finally, GCF of Fractions for 332/80, 661/6867 is 1/549360.