Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1793/712,6518/361
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 1793,6518
Greatest Common Factor of Numerators i.e. GCF of 1793,6518 is 1 .
LCM of Denominators means LCM of 712,361 as per the given fractions.
LCM of 712,361 is 257032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1793,6518
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1793
List of positive integer factors of 1793 that divides 1793 without a remainder.
1,11,163,1793
Factors of 6518
List of positive integer factors of 6518 that divides 6518 without a remainder.
1,2,3259,6518
Greatest Common Factor
We found the factors 1793,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 1793,6518 is 1.
Lets's calculate LCM of 712,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 257032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257032
Therefore, the GCF of Fractions 1793/712,6518/361 is 1/257032
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 712,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(712,361) x common factors =1 x 1 = 1
LCM(712,361) = ( 712 × 361 ) / 1
LCM(712,361) = 257032 / 1
LCM(712,361) = 257032
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 1793/712, 6518/361?
Answer: GCF of Numerators as per given numbers 1793/712, 6518/361 is
GCF of Numerators i.e. for 1793,6518 is 1
LCM of denominators i.e. for 712,361 is 257032.
Thus, GCF of Fractions is 1/257032.Finally, GCF of Fractions for 1793/712, 6518/361 is 1/257032.