Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 522/223,8033/793
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 522,8033
Greatest Common Factor of Numerators i.e. GCF of 522,8033 is 29 .
LCM of Denominators means LCM of 223,793 as per the given fractions.
LCM of 223,793 is 176839 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 522,8033
29 | 522, 8033 |
18, 277 |
∴ So the GCF of the given numbers is 29 = 29
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 8033
List of positive integer factors of 8033 that divides 8033 without a remainder.
1,29,277,8033
Greatest Common Factor
We found the factors 522,8033 . The biggest common factor number is the GCF number.
So the greatest common factor 522,8033 is 29.
Lets's calculate LCM of 223,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 176839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/176839
Therefore, the GCF of Fractions 522/223,8033/793 is 29/176839
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 223,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,793) x common factors =1 x 1 = 1
LCM(223,793) = ( 223 × 793 ) / 1
LCM(223,793) = 176839 / 1
LCM(223,793) = 176839
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 522/223, 8033/793?
Answer: GCF of Numerators as per given numbers 522/223, 8033/793 is
GCF of Numerators i.e. for 522,8033 is 29
LCM of denominators i.e. for 223,793 is 176839.
Thus, GCF of Fractions is 29/176839.Finally, GCF of Fractions for 522/223, 8033/793 is 29/176839.