Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5716/214,5842/323
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 5716,5842
Greatest Common Factor of Numerators i.e. GCF of 5716,5842 is 2 .
LCM of Denominators means LCM of 214,323 as per the given fractions.
LCM of 214,323 is 69122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5716,5842
2 | 5716, 5842 |
2858, 2921 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1,2,4,1429,2858,5716
Factors of 5842
List of positive integer factors of 5842 that divides 5842 without a remainder.
1,2,23,46,127,254,2921,5842
Greatest Common Factor
We found the factors 5716,5842 . The biggest common factor number is the GCF number.
So the greatest common factor 5716,5842 is 2.
Lets's calculate LCM of 214,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 69122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69122
Therefore, the GCF of Fractions 5716/214,5842/323 is 2/69122
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 214,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,323) x common factors =1 x 1 = 1
LCM(214,323) = ( 214 × 323 ) / 1
LCM(214,323) = 69122 / 1
LCM(214,323) = 69122
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 5716/214, 5842/323?
Answer: GCF of Numerators as per given numbers 5716/214, 5842/323 is
GCF of Numerators i.e. for 5716,5842 is 2
LCM of denominators i.e. for 214,323 is 69122.
Thus, GCF of Fractions is 2/69122.Finally, GCF of Fractions for 5716/214, 5842/323 is 2/69122.