Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/622,2487/3216
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 110,2487
Greatest Common Factor of Numerators i.e. GCF of 110,2487 is 1 .
LCM of Denominators means LCM of 622,3216 as per the given fractions.
LCM of 622,3216 is 1000176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,2487
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
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 110,2487 . The biggest common factor number is the GCF number.
So the greatest common factor 110,2487 is 1.
Lets's calculate LCM of 622,3216
2 | 622, 3216 |
311, 1608 |
∴ So the LCM of the given numbers is 2 x 311 x 1608 = 1000176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1000176
Therefore, the GCF of Fractions 110/622,2487/3216 is 1/1000176
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 622,3216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,3216) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,3216) x common factors =2 x 1 = 2
LCM(622,3216) = ( 622 × 3216 ) / 2
LCM(622,3216) = 2000352 / 2
LCM(622,3216) = 1000176
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 110/622, 2487/3216?
Answer: GCF of Numerators as per given numbers 110/622, 2487/3216 is
GCF of Numerators i.e. for 110,2487 is 1
LCM of denominators i.e. for 622,3216 is 1000176.
Thus, GCF of Fractions is 1/1000176.Finally, GCF of Fractions for 110/622, 2487/3216 is 1/1000176.