Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/8610,594/2565
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 455,594
Greatest Common Factor of Numerators i.e. GCF of 455,594 is 1 .
LCM of Denominators means LCM of 8610,2565 as per the given fractions.
LCM of 8610,2565 is 1472310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,594
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 455,594 . The biggest common factor number is the GCF number.
So the greatest common factor 455,594 is 1.
Lets's calculate LCM of 8610,2565
3 | 8610, 2565 |
5 | 2870, 855 |
574, 171 |
∴ So the LCM of the given numbers is 3 x 5 x 574 x 171 = 1472310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1472310
Therefore, the GCF of Fractions 455/8610,594/2565 is 1/1472310
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 8610,2565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8610,2565) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(8610,2565) x common factors =15 x 1 = 15
LCM(8610,2565) = ( 8610 × 2565 ) / 15
LCM(8610,2565) = 22084650 / 15
LCM(8610,2565) = 1472310
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 455/8610, 594/2565?
Answer: GCF of Numerators as per given numbers 455/8610, 594/2565 is
GCF of Numerators i.e. for 455,594 is 1
LCM of denominators i.e. for 8610,2565 is 1472310.
Thus, GCF of Fractions is 1/1472310.Finally, GCF of Fractions for 455/8610, 594/2565 is 1/1472310.