Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5137/46,6192/317
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 5137,6192
Greatest Common Factor of Numerators i.e. GCF of 5137,6192 is 1 .
LCM of Denominators means LCM of 46,317 as per the given fractions.
LCM of 46,317 is 14582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5137,6192
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5137
List of positive integer factors of 5137 that divides 5137 without a remainder.
1,11,467,5137
Factors of 6192
List of positive integer factors of 6192 that divides 6192 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192
Greatest Common Factor
We found the factors 5137,6192 . The biggest common factor number is the GCF number.
So the greatest common factor 5137,6192 is 1.
Lets's calculate LCM of 46,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 14582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14582
Therefore, the GCF of Fractions 5137/46,6192/317 is 1/14582
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 46,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,317) x common factors =1 x 1 = 1
LCM(46,317) = ( 46 × 317 ) / 1
LCM(46,317) = 14582 / 1
LCM(46,317) = 14582
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 5137/46, 6192/317?
Answer: GCF of Numerators as per given numbers 5137/46, 6192/317 is
GCF of Numerators i.e. for 5137,6192 is 1
LCM of denominators i.e. for 46,317 is 14582.
Thus, GCF of Fractions is 1/14582.Finally, GCF of Fractions for 5137/46, 6192/317 is 1/14582.