Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1371/694,4561/7027
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 1371,4561
Greatest Common Factor of Numerators i.e. GCF of 1371,4561 is 1 .
LCM of Denominators means LCM of 694,7027 as per the given fractions.
LCM of 694,7027 is 4876738 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1371,4561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1371
List of positive integer factors of 1371 that divides 1371 without a remainder.
1,3,457,1371
Factors of 4561
List of positive integer factors of 4561 that divides 4561 without a remainder.
1,4561
Greatest Common Factor
We found the factors 1371,4561 . The biggest common factor number is the GCF number.
So the greatest common factor 1371,4561 is 1.
Lets's calculate LCM of 694,7027
Given numbers has no common factors except 1. So, there LCM is their product i.e 4876738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4876738
Therefore, the GCF of Fractions 1371/694,4561/7027 is 1/4876738
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 694,7027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,7027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(694,7027) x common factors =1 x 1 = 1
LCM(694,7027) = ( 694 × 7027 ) / 1
LCM(694,7027) = 4876738 / 1
LCM(694,7027) = 4876738
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 1371/694, 4561/7027?
Answer: GCF of Numerators as per given numbers 1371/694, 4561/7027 is
GCF of Numerators i.e. for 1371,4561 is 1
LCM of denominators i.e. for 694,7027 is 4876738.
Thus, GCF of Fractions is 1/4876738.Finally, GCF of Fractions for 1371/694, 4561/7027 is 1/4876738.