Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 531/855,4381/2452
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 531,4381
Greatest Common Factor of Numerators i.e. GCF of 531,4381 is 1 .
LCM of Denominators means LCM of 855,2452 as per the given fractions.
LCM of 855,2452 is 2096460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 531,4381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 4381
List of positive integer factors of 4381 that divides 4381 without a remainder.
1,13,337,4381
Greatest Common Factor
We found the factors 531,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 531,4381 is 1.
Lets's calculate LCM of 855,2452
Given numbers has no common factors except 1. So, there LCM is their product i.e 2096460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2096460
Therefore, the GCF of Fractions 531/855,4381/2452 is 1/2096460
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 855,2452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,2452) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,2452) x common factors =1 x 1 = 1
LCM(855,2452) = ( 855 × 2452 ) / 1
LCM(855,2452) = 2096460 / 1
LCM(855,2452) = 2096460
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 531/855, 4381/2452?
Answer: GCF of Numerators as per given numbers 531/855, 4381/2452 is
GCF of Numerators i.e. for 531,4381 is 1
LCM of denominators i.e. for 855,2452 is 2096460.
Thus, GCF of Fractions is 1/2096460.Finally, GCF of Fractions for 531/855, 4381/2452 is 1/2096460.