Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 539/328,1870/733
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 539,1870
Greatest Common Factor of Numerators i.e. GCF of 539,1870 is 11 .
LCM of Denominators means LCM of 328,733 as per the given fractions.
LCM of 328,733 is 240424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 539,1870
11 | 539, 1870 |
49, 170 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 1870
List of positive integer factors of 1870 that divides 1870 without a remainder.
1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 539,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 539,1870 is 11.
Lets's calculate LCM of 328,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 240424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/240424
Therefore, the GCF of Fractions 539/328,1870/733 is 11/240424
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 328,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,733) x common factors =1 x 1 = 1
LCM(328,733) = ( 328 × 733 ) / 1
LCM(328,733) = 240424 / 1
LCM(328,733) = 240424
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 539/328, 1870/733?
Answer: GCF of Numerators as per given numbers 539/328, 1870/733 is
GCF of Numerators i.e. for 539,1870 is 11
LCM of denominators i.e. for 328,733 is 240424.
Thus, GCF of Fractions is 11/240424.Finally, GCF of Fractions for 539/328, 1870/733 is 11/240424.