Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6823/543,2622/5066
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 6823,2622
Greatest Common Factor of Numerators i.e. GCF of 6823,2622 is 1 .
LCM of Denominators means LCM of 543,5066 as per the given fractions.
LCM of 543,5066 is 2750838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6823,2622
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6823
List of positive integer factors of 6823 that divides 6823 without a remainder.
1,6823
Factors of 2622
List of positive integer factors of 2622 that divides 2622 without a remainder.
1,2,3,6,19,23,38,46,57,69,114,138,437,874,1311,2622
Greatest Common Factor
We found the factors 6823,2622 . The biggest common factor number is the GCF number.
So the greatest common factor 6823,2622 is 1.
Lets's calculate LCM of 543,5066
Given numbers has no common factors except 1. So, there LCM is their product i.e 2750838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2750838
Therefore, the GCF of Fractions 6823/543,2622/5066 is 1/2750838
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 543,5066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,5066) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,5066) x common factors =1 x 1 = 1
LCM(543,5066) = ( 543 × 5066 ) / 1
LCM(543,5066) = 2750838 / 1
LCM(543,5066) = 2750838
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 6823/543, 2622/5066?
Answer: GCF of Numerators as per given numbers 6823/543, 2622/5066 is
GCF of Numerators i.e. for 6823,2622 is 1
LCM of denominators i.e. for 543,5066 is 2750838.
Thus, GCF of Fractions is 1/2750838.Finally, GCF of Fractions for 6823/543, 2622/5066 is 1/2750838.