Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 577/39,3164/993
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 577,3164
Greatest Common Factor of Numerators i.e. GCF of 577,3164 is 1 .
LCM of Denominators means LCM of 39,993 as per the given fractions.
LCM of 39,993 is 12909 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 577,3164
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 3164
List of positive integer factors of 3164 that divides 3164 without a remainder.
1,2,4,7,14,28,113,226,452,791,1582,3164
Greatest Common Factor
We found the factors 577,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 577,3164 is 1.
Lets's calculate LCM of 39,993
3 | 39, 993 |
13, 331 |
∴ So the LCM of the given numbers is 3 x 13 x 331 = 12909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12909
Therefore, the GCF of Fractions 577/39,3164/993 is 1/12909
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 39,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,993) x common factors =3 x 1 = 3
LCM(39,993) = ( 39 × 993 ) / 3
LCM(39,993) = 38727 / 3
LCM(39,993) = 12909
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 577/39, 3164/993?
Answer: GCF of Numerators as per given numbers 577/39, 3164/993 is
GCF of Numerators i.e. for 577,3164 is 1
LCM of denominators i.e. for 39,993 is 12909.
Thus, GCF of Fractions is 1/12909.Finally, GCF of Fractions for 577/39, 3164/993 is 1/12909.