Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4424/138,8079/5127
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 4424,8079
Greatest Common Factor of Numerators i.e. GCF of 4424,8079 is 1 .
LCM of Denominators means LCM of 138,5127 as per the given fractions.
LCM of 138,5127 is 235842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4424,8079
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4424
List of positive integer factors of 4424 that divides 4424 without a remainder.
1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Factors of 8079
List of positive integer factors of 8079 that divides 8079 without a remainder.
1,3,2693,8079
Greatest Common Factor
We found the factors 4424,8079 . The biggest common factor number is the GCF number.
So the greatest common factor 4424,8079 is 1.
Lets's calculate LCM of 138,5127
3 | 138, 5127 |
46, 1709 |
∴ So the LCM of the given numbers is 3 x 46 x 1709 = 235842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235842
Therefore, the GCF of Fractions 4424/138,8079/5127 is 1/235842
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 138,5127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,5127) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,5127) x common factors =3 x 1 = 3
LCM(138,5127) = ( 138 × 5127 ) / 3
LCM(138,5127) = 707526 / 3
LCM(138,5127) = 235842
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 4424/138, 8079/5127?
Answer: GCF of Numerators as per given numbers 4424/138, 8079/5127 is
GCF of Numerators i.e. for 4424,8079 is 1
LCM of denominators i.e. for 138,5127 is 235842.
Thus, GCF of Fractions is 1/235842.Finally, GCF of Fractions for 4424/138, 8079/5127 is 1/235842.