Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6128/204,6581/939
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 6128,6581
Greatest Common Factor of Numerators i.e. GCF of 6128,6581 is 1 .
LCM of Denominators means LCM of 204,939 as per the given fractions.
LCM of 204,939 is 63852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6128,6581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6128
List of positive integer factors of 6128 that divides 6128 without a remainder.
1,2,4,8,16,383,766,1532,3064,6128
Factors of 6581
List of positive integer factors of 6581 that divides 6581 without a remainder.
1,6581
Greatest Common Factor
We found the factors 6128,6581 . The biggest common factor number is the GCF number.
So the greatest common factor 6128,6581 is 1.
Lets's calculate LCM of 204,939
3 | 204, 939 |
68, 313 |
∴ So the LCM of the given numbers is 3 x 68 x 313 = 63852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63852
Therefore, the GCF of Fractions 6128/204,6581/939 is 1/63852
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 204,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,939) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,939) x common factors =3 x 1 = 3
LCM(204,939) = ( 204 × 939 ) / 3
LCM(204,939) = 191556 / 3
LCM(204,939) = 63852
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 6128/204, 6581/939?
Answer: GCF of Numerators as per given numbers 6128/204, 6581/939 is
GCF of Numerators i.e. for 6128,6581 is 1
LCM of denominators i.e. for 204,939 is 63852.
Thus, GCF of Fractions is 1/63852.Finally, GCF of Fractions for 6128/204, 6581/939 is 1/63852.