Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3373/854,2456/3583
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 3373,2456
Greatest Common Factor of Numerators i.e. GCF of 3373,2456 is 1 .
LCM of Denominators means LCM of 854,3583 as per the given fractions.
LCM of 854,3583 is 3059882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3373,2456
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3373
List of positive integer factors of 3373 that divides 3373 without a remainder.
1,3373
Factors of 2456
List of positive integer factors of 2456 that divides 2456 without a remainder.
1,2,4,8,307,614,1228,2456
Greatest Common Factor
We found the factors 3373,2456 . The biggest common factor number is the GCF number.
So the greatest common factor 3373,2456 is 1.
Lets's calculate LCM of 854,3583
Given numbers has no common factors except 1. So, there LCM is their product i.e 3059882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3059882
Therefore, the GCF of Fractions 3373/854,2456/3583 is 1/3059882
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 854,3583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,3583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(854,3583) x common factors =1 x 1 = 1
LCM(854,3583) = ( 854 × 3583 ) / 1
LCM(854,3583) = 3059882 / 1
LCM(854,3583) = 3059882
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 3373/854, 2456/3583?
Answer: GCF of Numerators as per given numbers 3373/854, 2456/3583 is
GCF of Numerators i.e. for 3373,2456 is 1
LCM of denominators i.e. for 854,3583 is 3059882.
Thus, GCF of Fractions is 1/3059882.Finally, GCF of Fractions for 3373/854, 2456/3583 is 1/3059882.