Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 539/10,472/2239
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 539,472
Greatest Common Factor of Numerators i.e. GCF of 539,472 is 1 .
LCM of Denominators means LCM of 10,2239 as per the given fractions.
LCM of 10,2239 is 22390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 539,472
∴ 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 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 539,472 . The biggest common factor number is the GCF number.
So the greatest common factor 539,472 is 1.
Lets's calculate LCM of 10,2239
Given numbers has no common factors except 1. So, there LCM is their product i.e 22390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22390
Therefore, the GCF of Fractions 539/10,472/2239 is 1/22390
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 10,2239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,2239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,2239) x common factors =1 x 1 = 1
LCM(10,2239) = ( 10 × 2239 ) / 1
LCM(10,2239) = 22390 / 1
LCM(10,2239) = 22390
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 539/10, 472/2239?
Answer: GCF of Numerators as per given numbers 539/10, 472/2239 is
GCF of Numerators i.e. for 539,472 is 1
LCM of denominators i.e. for 10,2239 is 22390.
Thus, GCF of Fractions is 1/22390.Finally, GCF of Fractions for 539/10, 472/2239 is 1/22390.