Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 539/241,4638/492
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 539,4638
Greatest Common Factor of Numerators i.e. GCF of 539,4638 is 1 .
LCM of Denominators means LCM of 241,492 as per the given fractions.
LCM of 241,492 is 118572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 539,4638
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 4638
List of positive integer factors of 4638 that divides 4638 without a remainder.
1,2,3,6,773,1546,2319,4638
Greatest Common Factor
We found the factors 539,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 539,4638 is 1.
Lets's calculate LCM of 241,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 118572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118572
Therefore, the GCF of Fractions 539/241,4638/492 is 1/118572
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 241,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,492) x common factors =1 x 1 = 1
LCM(241,492) = ( 241 × 492 ) / 1
LCM(241,492) = 118572 / 1
LCM(241,492) = 118572
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 539/241, 4638/492?
Answer: GCF of Numerators as per given numbers 539/241, 4638/492 is
GCF of Numerators i.e. for 539,4638 is 1
LCM of denominators i.e. for 241,492 is 118572.
Thus, GCF of Fractions is 1/118572.Finally, GCF of Fractions for 539/241, 4638/492 is 1/118572.