Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 521/817,5049/2636
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 521,5049
Greatest Common Factor of Numerators i.e. GCF of 521,5049 is 1 .
LCM of Denominators means LCM of 817,2636 as per the given fractions.
LCM of 817,2636 is 2153612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 521,5049
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 5049
List of positive integer factors of 5049 that divides 5049 without a remainder.
1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Greatest Common Factor
We found the factors 521,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 521,5049 is 1.
Lets's calculate LCM of 817,2636
Given numbers has no common factors except 1. So, there LCM is their product i.e 2153612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2153612
Therefore, the GCF of Fractions 521/817,5049/2636 is 1/2153612
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 817,2636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,2636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,2636) x common factors =1 x 1 = 1
LCM(817,2636) = ( 817 × 2636 ) / 1
LCM(817,2636) = 2153612 / 1
LCM(817,2636) = 2153612
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 521/817, 5049/2636?
Answer: GCF of Numerators as per given numbers 521/817, 5049/2636 is
GCF of Numerators i.e. for 521,5049 is 1
LCM of denominators i.e. for 817,2636 is 2153612.
Thus, GCF of Fractions is 1/2153612.Finally, GCF of Fractions for 521/817, 5049/2636 is 1/2153612.