Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2639/489,8966/488
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 2639,8966
Greatest Common Factor of Numerators i.e. GCF of 2639,8966 is 1 .
LCM of Denominators means LCM of 489,488 as per the given fractions.
LCM of 489,488 is 238632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2639,8966
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2639
List of positive integer factors of 2639 that divides 2639 without a remainder.
1,7,13,29,91,203,377,2639
Factors of 8966
List of positive integer factors of 8966 that divides 8966 without a remainder.
1,2,4483,8966
Greatest Common Factor
We found the factors 2639,8966 . The biggest common factor number is the GCF number.
So the greatest common factor 2639,8966 is 1.
Lets's calculate LCM of 489,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 238632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238632
Therefore, the GCF of Fractions 2639/489,8966/488 is 1/238632
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 489,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,488) x common factors =1 x 1 = 1
LCM(489,488) = ( 489 × 488 ) / 1
LCM(489,488) = 238632 / 1
LCM(489,488) = 238632
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 2639/489, 8966/488?
Answer: GCF of Numerators as per given numbers 2639/489, 8966/488 is
GCF of Numerators i.e. for 2639,8966 is 1
LCM of denominators i.e. for 489,488 is 238632.
Thus, GCF of Fractions is 1/238632.Finally, GCF of Fractions for 2639/489, 8966/488 is 1/238632.