Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/179,523/515
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 573,523
Greatest Common Factor of Numerators i.e. GCF of 573,523 is 1 .
LCM of Denominators means LCM of 179,515 as per the given fractions.
LCM of 179,515 is 92185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 573,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Greatest Common Factor
We found the factors 573,523 . The biggest common factor number is the GCF number.
So the greatest common factor 573,523 is 1.
Lets's calculate LCM of 179,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 92185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92185
Therefore, the GCF of Fractions 573/179,523/515 is 1/92185
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 179,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,515) x common factors =1 x 1 = 1
LCM(179,515) = ( 179 × 515 ) / 1
LCM(179,515) = 92185 / 1
LCM(179,515) = 92185
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 573/179, 523/515?
Answer: GCF of Numerators as per given numbers 573/179, 523/515 is
GCF of Numerators i.e. for 573,523 is 1
LCM of denominators i.e. for 179,515 is 92185.
Thus, GCF of Fractions is 1/92185.Finally, GCF of Fractions for 573/179, 523/515 is 1/92185.