Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5659/96,5768/581
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 5659,5768
Greatest Common Factor of Numerators i.e. GCF of 5659,5768 is 1 .
LCM of Denominators means LCM of 96,581 as per the given fractions.
LCM of 96,581 is 55776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5659,5768
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5659
List of positive integer factors of 5659 that divides 5659 without a remainder.
1,5659
Factors of 5768
List of positive integer factors of 5768 that divides 5768 without a remainder.
1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Greatest Common Factor
We found the factors 5659,5768 . The biggest common factor number is the GCF number.
So the greatest common factor 5659,5768 is 1.
Lets's calculate LCM of 96,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 55776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55776
Therefore, the GCF of Fractions 5659/96,5768/581 is 1/55776
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 96,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,581) x common factors =1 x 1 = 1
LCM(96,581) = ( 96 × 581 ) / 1
LCM(96,581) = 55776 / 1
LCM(96,581) = 55776
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 5659/96, 5768/581?
Answer: GCF of Numerators as per given numbers 5659/96, 5768/581 is
GCF of Numerators i.e. for 5659,5768 is 1
LCM of denominators i.e. for 96,581 is 55776.
Thus, GCF of Fractions is 1/55776.Finally, GCF of Fractions for 5659/96, 5768/581 is 1/55776.