Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5151/138,1176/826
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 5151,1176
Greatest Common Factor of Numerators i.e. GCF of 5151,1176 is 3 .
LCM of Denominators means LCM of 138,826 as per the given fractions.
LCM of 138,826 is 56994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5151,1176
3 | 5151, 1176 |
1717, 392 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5151
List of positive integer factors of 5151 that divides 5151 without a remainder.
1,3,17,51,101,303,1717,5151
Factors of 1176
List of positive integer factors of 1176 that divides 1176 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176
Greatest Common Factor
We found the factors 5151,1176 . The biggest common factor number is the GCF number.
So the greatest common factor 5151,1176 is 3.
Lets's calculate LCM of 138,826
2 | 138, 826 |
69, 413 |
∴ So the LCM of the given numbers is 2 x 69 x 413 = 56994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/56994
Therefore, the GCF of Fractions 5151/138,1176/826 is 3/56994
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 138,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,826) x common factors =2 x 1 = 2
LCM(138,826) = ( 138 × 826 ) / 2
LCM(138,826) = 113988 / 2
LCM(138,826) = 56994
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 5151/138, 1176/826?
Answer: GCF of Numerators as per given numbers 5151/138, 1176/826 is
GCF of Numerators i.e. for 5151,1176 is 3
LCM of denominators i.e. for 138,826 is 56994.
Thus, GCF of Fractions is 3/56994.Finally, GCF of Fractions for 5151/138, 1176/826 is 3/56994.