Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2531/591,8286/3465
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 2531,8286
Greatest Common Factor of Numerators i.e. GCF of 2531,8286 is 1 .
LCM of Denominators means LCM of 591,3465 as per the given fractions.
LCM of 591,3465 is 682605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2531,8286
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2531
List of positive integer factors of 2531 that divides 2531 without a remainder.
1,2531
Factors of 8286
List of positive integer factors of 8286 that divides 8286 without a remainder.
1,2,3,6,1381,2762,4143,8286
Greatest Common Factor
We found the factors 2531,8286 . The biggest common factor number is the GCF number.
So the greatest common factor 2531,8286 is 1.
Lets's calculate LCM of 591,3465
3 | 591, 3465 |
197, 1155 |
∴ So the LCM of the given numbers is 3 x 197 x 1155 = 682605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682605
Therefore, the GCF of Fractions 2531/591,8286/3465 is 1/682605
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 591,3465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,3465) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,3465) x common factors =3 x 1 = 3
LCM(591,3465) = ( 591 × 3465 ) / 3
LCM(591,3465) = 2047815 / 3
LCM(591,3465) = 682605
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 2531/591, 8286/3465?
Answer: GCF of Numerators as per given numbers 2531/591, 8286/3465 is
GCF of Numerators i.e. for 2531,8286 is 1
LCM of denominators i.e. for 591,3465 is 682605.
Thus, GCF of Fractions is 1/682605.Finally, GCF of Fractions for 2531/591, 8286/3465 is 1/682605.