Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7057/270,3572/7697
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 7057,3572
Greatest Common Factor of Numerators i.e. GCF of 7057,3572 is 1 .
LCM of Denominators means LCM of 270,7697 as per the given fractions.
LCM of 270,7697 is 2078190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7057,3572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7057
List of positive integer factors of 7057 that divides 7057 without a remainder.
1,7057
Factors of 3572
List of positive integer factors of 3572 that divides 3572 without a remainder.
1,2,4,19,38,47,76,94,188,893,1786,3572
Greatest Common Factor
We found the factors 7057,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 7057,3572 is 1.
Lets's calculate LCM of 270,7697
Given numbers has no common factors except 1. So, there LCM is their product i.e 2078190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2078190
Therefore, the GCF of Fractions 7057/270,3572/7697 is 1/2078190
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 270,7697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,7697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,7697) x common factors =1 x 1 = 1
LCM(270,7697) = ( 270 × 7697 ) / 1
LCM(270,7697) = 2078190 / 1
LCM(270,7697) = 2078190
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 7057/270, 3572/7697?
Answer: GCF of Numerators as per given numbers 7057/270, 3572/7697 is
GCF of Numerators i.e. for 7057,3572 is 1
LCM of denominators i.e. for 270,7697 is 2078190.
Thus, GCF of Fractions is 1/2078190.Finally, GCF of Fractions for 7057/270, 3572/7697 is 1/2078190.