Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5674/881,2525/3342
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 5674,2525
Greatest Common Factor of Numerators i.e. GCF of 5674,2525 is 1 .
LCM of Denominators means LCM of 881,3342 as per the given fractions.
LCM of 881,3342 is 2944302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5674,2525
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5674
List of positive integer factors of 5674 that divides 5674 without a remainder.
1,2,2837,5674
Factors of 2525
List of positive integer factors of 2525 that divides 2525 without a remainder.
1,5,25,101,505,2525
Greatest Common Factor
We found the factors 5674,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 5674,2525 is 1.
Lets's calculate LCM of 881,3342
Given numbers has no common factors except 1. So, there LCM is their product i.e 2944302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2944302
Therefore, the GCF of Fractions 5674/881,2525/3342 is 1/2944302
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 881,3342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,3342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,3342) x common factors =1 x 1 = 1
LCM(881,3342) = ( 881 × 3342 ) / 1
LCM(881,3342) = 2944302 / 1
LCM(881,3342) = 2944302
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 5674/881, 2525/3342?
Answer: GCF of Numerators as per given numbers 5674/881, 2525/3342 is
GCF of Numerators i.e. for 5674,2525 is 1
LCM of denominators i.e. for 881,3342 is 2944302.
Thus, GCF of Fractions is 1/2944302.Finally, GCF of Fractions for 5674/881, 2525/3342 is 1/2944302.