Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4042/72,6513/697
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 4042,6513
Greatest Common Factor of Numerators i.e. GCF of 4042,6513 is 1 .
LCM of Denominators means LCM of 72,697 as per the given fractions.
LCM of 72,697 is 50184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4042,6513
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4042
List of positive integer factors of 4042 that divides 4042 without a remainder.
1,2,43,47,86,94,2021,4042
Factors of 6513
List of positive integer factors of 6513 that divides 6513 without a remainder.
1,3,13,39,167,501,2171,6513
Greatest Common Factor
We found the factors 4042,6513 . The biggest common factor number is the GCF number.
So the greatest common factor 4042,6513 is 1.
Lets's calculate LCM of 72,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 50184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50184
Therefore, the GCF of Fractions 4042/72,6513/697 is 1/50184
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 72,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,697) x common factors =1 x 1 = 1
LCM(72,697) = ( 72 × 697 ) / 1
LCM(72,697) = 50184 / 1
LCM(72,697) = 50184
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 4042/72, 6513/697?
Answer: GCF of Numerators as per given numbers 4042/72, 6513/697 is
GCF of Numerators i.e. for 4042,6513 is 1
LCM of denominators i.e. for 72,697 is 50184.
Thus, GCF of Fractions is 1/50184.Finally, GCF of Fractions for 4042/72, 6513/697 is 1/50184.