Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/778,5463/2361
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 721,5463
Greatest Common Factor of Numerators i.e. GCF of 721,5463 is 1 .
LCM of Denominators means LCM of 778,2361 as per the given fractions.
LCM of 778,2361 is 1836858 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 721,5463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 5463
List of positive integer factors of 5463 that divides 5463 without a remainder.
1,3,9,607,1821,5463
Greatest Common Factor
We found the factors 721,5463 . The biggest common factor number is the GCF number.
So the greatest common factor 721,5463 is 1.
Lets's calculate LCM of 778,2361
Given numbers has no common factors except 1. So, there LCM is their product i.e 1836858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1836858
Therefore, the GCF of Fractions 721/778,5463/2361 is 1/1836858
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 778,2361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,2361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,2361) x common factors =1 x 1 = 1
LCM(778,2361) = ( 778 × 2361 ) / 1
LCM(778,2361) = 1836858 / 1
LCM(778,2361) = 1836858
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 721/778, 5463/2361?
Answer: GCF of Numerators as per given numbers 721/778, 5463/2361 is
GCF of Numerators i.e. for 721,5463 is 1
LCM of denominators i.e. for 778,2361 is 1836858.
Thus, GCF of Fractions is 1/1836858.Finally, GCF of Fractions for 721/778, 5463/2361 is 1/1836858.