Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2329/471,8788/3111
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 2329,8788
Greatest Common Factor of Numerators i.e. GCF of 2329,8788 is 1 .
LCM of Denominators means LCM of 471,3111 as per the given fractions.
LCM of 471,3111 is 488427 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2329,8788
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2329
List of positive integer factors of 2329 that divides 2329 without a remainder.
1,17,137,2329
Factors of 8788
List of positive integer factors of 8788 that divides 8788 without a remainder.
1,2,4,13,26,52,169,338,676,2197,4394,8788
Greatest Common Factor
We found the factors 2329,8788 . The biggest common factor number is the GCF number.
So the greatest common factor 2329,8788 is 1.
Lets's calculate LCM of 471,3111
3 | 471, 3111 |
157, 1037 |
∴ So the LCM of the given numbers is 3 x 157 x 1037 = 488427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488427
Therefore, the GCF of Fractions 2329/471,8788/3111 is 1/488427
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 471,3111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,3111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,3111) x common factors =3 x 1 = 3
LCM(471,3111) = ( 471 × 3111 ) / 3
LCM(471,3111) = 1465281 / 3
LCM(471,3111) = 488427
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 2329/471, 8788/3111?
Answer: GCF of Numerators as per given numbers 2329/471, 8788/3111 is
GCF of Numerators i.e. for 2329,8788 is 1
LCM of denominators i.e. for 471,3111 is 488427.
Thus, GCF of Fractions is 1/488427.Finally, GCF of Fractions for 2329/471, 8788/3111 is 1/488427.