Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 800/842,1569/8223
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 800,1569
Greatest Common Factor of Numerators i.e. GCF of 800,1569 is 1 .
LCM of Denominators means LCM of 842,8223 as per the given fractions.
LCM of 842,8223 is 6923766 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 800,1569
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 1569
List of positive integer factors of 1569 that divides 1569 without a remainder.
1,3,523,1569
Greatest Common Factor
We found the factors 800,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 800,1569 is 1.
Lets's calculate LCM of 842,8223
Given numbers has no common factors except 1. So, there LCM is their product i.e 6923766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6923766
Therefore, the GCF of Fractions 800/842,1569/8223 is 1/6923766
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 842,8223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,8223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,8223) x common factors =1 x 1 = 1
LCM(842,8223) = ( 842 × 8223 ) / 1
LCM(842,8223) = 6923766 / 1
LCM(842,8223) = 6923766
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 800/842, 1569/8223?
Answer: GCF of Numerators as per given numbers 800/842, 1569/8223 is
GCF of Numerators i.e. for 800,1569 is 1
LCM of denominators i.e. for 842,8223 is 6923766.
Thus, GCF of Fractions is 1/6923766.Finally, GCF of Fractions for 800/842, 1569/8223 is 1/6923766.