Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 572/307,379/488
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 572,379
Greatest Common Factor of Numerators i.e. GCF of 572,379 is 1 .
LCM of Denominators means LCM of 307,488 as per the given fractions.
LCM of 307,488 is 149816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 572,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 572,379 . The biggest common factor number is the GCF number.
So the greatest common factor 572,379 is 1.
Lets's calculate LCM of 307,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 149816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149816
Therefore, the GCF of Fractions 572/307,379/488 is 1/149816
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 307,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,488) x common factors =1 x 1 = 1
LCM(307,488) = ( 307 × 488 ) / 1
LCM(307,488) = 149816 / 1
LCM(307,488) = 149816
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 572/307, 379/488?
Answer: GCF of Numerators as per given numbers 572/307, 379/488 is
GCF of Numerators i.e. for 572,379 is 1
LCM of denominators i.e. for 307,488 is 149816.
Thus, GCF of Fractions is 1/149816.Finally, GCF of Fractions for 572/307, 379/488 is 1/149816.