Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2832/185,2487/5488
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 2832,2487
Greatest Common Factor of Numerators i.e. GCF of 2832,2487 is 3 .
LCM of Denominators means LCM of 185,5488 as per the given fractions.
LCM of 185,5488 is 1015280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2832,2487
3 | 2832, 2487 |
944, 829 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2832
List of positive integer factors of 2832 that divides 2832 without a remainder.
1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Factors of 2487
List of positive integer factors of 2487 that divides 2487 without a remainder.
1,3,829,2487
Greatest Common Factor
We found the factors 2832,2487 . The biggest common factor number is the GCF number.
So the greatest common factor 2832,2487 is 3.
Lets's calculate LCM of 185,5488
Given numbers has no common factors except 1. So, there LCM is their product i.e 1015280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1015280
Therefore, the GCF of Fractions 2832/185,2487/5488 is 3/1015280
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 185,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,5488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,5488) x common factors =1 x 1 = 1
LCM(185,5488) = ( 185 × 5488 ) / 1
LCM(185,5488) = 1015280 / 1
LCM(185,5488) = 1015280
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 2832/185, 2487/5488?
Answer: GCF of Numerators as per given numbers 2832/185, 2487/5488 is
GCF of Numerators i.e. for 2832,2487 is 3
LCM of denominators i.e. for 185,5488 is 1015280.
Thus, GCF of Fractions is 3/1015280.Finally, GCF of Fractions for 2832/185, 2487/5488 is 3/1015280.