Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2885/135,5064/4356
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 2885,5064
Greatest Common Factor of Numerators i.e. GCF of 2885,5064 is 1 .
LCM of Denominators means LCM of 135,4356 as per the given fractions.
LCM of 135,4356 is 65340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2885,5064
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2885
List of positive integer factors of 2885 that divides 2885 without a remainder.
1,5,577,2885
Factors of 5064
List of positive integer factors of 5064 that divides 5064 without a remainder.
1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064
Greatest Common Factor
We found the factors 2885,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 2885,5064 is 1.
Lets's calculate LCM of 135,4356
3 | 135, 4356 |
3 | 45, 1452 |
15, 484 |
∴ So the LCM of the given numbers is 3 x 3 x 15 x 484 = 65340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65340
Therefore, the GCF of Fractions 2885/135,5064/4356 is 1/65340
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 135,4356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,4356) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(135,4356) x common factors =9 x 1 = 9
LCM(135,4356) = ( 135 × 4356 ) / 9
LCM(135,4356) = 588060 / 9
LCM(135,4356) = 65340
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 2885/135, 5064/4356?
Answer: GCF of Numerators as per given numbers 2885/135, 5064/4356 is
GCF of Numerators i.e. for 2885,5064 is 1
LCM of denominators i.e. for 135,4356 is 65340.
Thus, GCF of Fractions is 1/65340.Finally, GCF of Fractions for 2885/135, 5064/4356 is 1/65340.