Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2472/86,3323/386
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 2472,3323
Greatest Common Factor of Numerators i.e. GCF of 2472,3323 is 1 .
LCM of Denominators means LCM of 86,386 as per the given fractions.
LCM of 86,386 is 16598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2472,3323
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2472
List of positive integer factors of 2472 that divides 2472 without a remainder.
1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472
Factors of 3323
List of positive integer factors of 3323 that divides 3323 without a remainder.
1,3323
Greatest Common Factor
We found the factors 2472,3323 . The biggest common factor number is the GCF number.
So the greatest common factor 2472,3323 is 1.
Lets's calculate LCM of 86,386
2 | 86, 386 |
43, 193 |
∴ So the LCM of the given numbers is 2 x 43 x 193 = 16598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16598
Therefore, the GCF of Fractions 2472/86,3323/386 is 1/16598
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 86,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,386) x common factors =2 x 1 = 2
LCM(86,386) = ( 86 × 386 ) / 2
LCM(86,386) = 33196 / 2
LCM(86,386) = 16598
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 2472/86, 3323/386?
Answer: GCF of Numerators as per given numbers 2472/86, 3323/386 is
GCF of Numerators i.e. for 2472,3323 is 1
LCM of denominators i.e. for 86,386 is 16598.
Thus, GCF of Fractions is 1/16598.Finally, GCF of Fractions for 2472/86, 3323/386 is 1/16598.