Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2167/809,9549/793
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 2167,9549
Greatest Common Factor of Numerators i.e. GCF of 2167,9549 is 1 .
LCM of Denominators means LCM of 809,793 as per the given fractions.
LCM of 809,793 is 641537 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2167,9549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2167
List of positive integer factors of 2167 that divides 2167 without a remainder.
1,11,197,2167
Factors of 9549
List of positive integer factors of 9549 that divides 9549 without a remainder.
1,3,9,1061,3183,9549
Greatest Common Factor
We found the factors 2167,9549 . The biggest common factor number is the GCF number.
So the greatest common factor 2167,9549 is 1.
Lets's calculate LCM of 809,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 641537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641537
Therefore, the GCF of Fractions 2167/809,9549/793 is 1/641537
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 809,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,793) x common factors =1 x 1 = 1
LCM(809,793) = ( 809 × 793 ) / 1
LCM(809,793) = 641537 / 1
LCM(809,793) = 641537
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 2167/809, 9549/793?
Answer: GCF of Numerators as per given numbers 2167/809, 9549/793 is
GCF of Numerators i.e. for 2167,9549 is 1
LCM of denominators i.e. for 809,793 is 641537.
Thus, GCF of Fractions is 1/641537.Finally, GCF of Fractions for 2167/809, 9549/793 is 1/641537.