Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 889/809,794/511
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 889,794
Greatest Common Factor of Numerators i.e. GCF of 889,794 is 1 .
LCM of Denominators means LCM of 809,511 as per the given fractions.
LCM of 809,511 is 413399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 889,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 889,794 . The biggest common factor number is the GCF number.
So the greatest common factor 889,794 is 1.
Lets's calculate LCM of 809,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 413399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413399
Therefore, the GCF of Fractions 889/809,794/511 is 1/413399
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 809,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,511) x common factors =1 x 1 = 1
LCM(809,511) = ( 809 × 511 ) / 1
LCM(809,511) = 413399 / 1
LCM(809,511) = 413399
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 889/809, 794/511?
Answer: GCF of Numerators as per given numbers 889/809, 794/511 is
GCF of Numerators i.e. for 889,794 is 1
LCM of denominators i.e. for 809,511 is 413399.
Thus, GCF of Fractions is 1/413399.Finally, GCF of Fractions for 889/809, 794/511 is 1/413399.