Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 538/593,5520/823
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 538,5520
Greatest Common Factor of Numerators i.e. GCF of 538,5520 is 2 .
LCM of Denominators means LCM of 593,823 as per the given fractions.
LCM of 593,823 is 488039 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 538,5520
2 | 538, 5520 |
269, 2760 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 5520
List of positive integer factors of 5520 that divides 5520 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Greatest Common Factor
We found the factors 538,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 538,5520 is 2.
Lets's calculate LCM of 593,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 488039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/488039
Therefore, the GCF of Fractions 538/593,5520/823 is 2/488039
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 593,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,823) x common factors =1 x 1 = 1
LCM(593,823) = ( 593 × 823 ) / 1
LCM(593,823) = 488039 / 1
LCM(593,823) = 488039
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 538/593, 5520/823?
Answer: GCF of Numerators as per given numbers 538/593, 5520/823 is
GCF of Numerators i.e. for 538,5520 is 2
LCM of denominators i.e. for 593,823 is 488039.
Thus, GCF of Fractions is 2/488039.Finally, GCF of Fractions for 538/593, 5520/823 is 2/488039.