Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6576/81,8237/581
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 6576,8237
Greatest Common Factor of Numerators i.e. GCF of 6576,8237 is 1 .
LCM of Denominators means LCM of 81,581 as per the given fractions.
LCM of 81,581 is 47061 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6576,8237
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6576
List of positive integer factors of 6576 that divides 6576 without a remainder.
1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Factors of 8237
List of positive integer factors of 8237 that divides 8237 without a remainder.
1,8237
Greatest Common Factor
We found the factors 6576,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 6576,8237 is 1.
Lets's calculate LCM of 81,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 47061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47061
Therefore, the GCF of Fractions 6576/81,8237/581 is 1/47061
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 81,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,581) x common factors =1 x 1 = 1
LCM(81,581) = ( 81 × 581 ) / 1
LCM(81,581) = 47061 / 1
LCM(81,581) = 47061
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 6576/81, 8237/581?
Answer: GCF of Numerators as per given numbers 6576/81, 8237/581 is
GCF of Numerators i.e. for 6576,8237 is 1
LCM of denominators i.e. for 81,581 is 47061.
Thus, GCF of Fractions is 1/47061.Finally, GCF of Fractions for 6576/81, 8237/581 is 1/47061.