Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7196/954,1904/1933
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 7196,1904
Greatest Common Factor of Numerators i.e. GCF of 7196,1904 is 28 .
LCM of Denominators means LCM of 954,1933 as per the given fractions.
LCM of 954,1933 is 1844082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7196,1904
2 | 7196, 1904 |
2 | 3598, 952 |
7 | 1799, 476 |
257, 68 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Factors of 7196
List of positive integer factors of 7196 that divides 7196 without a remainder.
1,2,4,7,14,28,257,514,1028,1799,3598,7196
Factors of 1904
List of positive integer factors of 1904 that divides 1904 without a remainder.
1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904
Greatest Common Factor
We found the factors 7196,1904 . The biggest common factor number is the GCF number.
So the greatest common factor 7196,1904 is 28.
Lets's calculate LCM of 954,1933
Given numbers has no common factors except 1. So, there LCM is their product i.e 1844082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1844082
Therefore, the GCF of Fractions 7196/954,1904/1933 is 28/1844082
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 954,1933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,1933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(954,1933) x common factors =1 x 1 = 1
LCM(954,1933) = ( 954 × 1933 ) / 1
LCM(954,1933) = 1844082 / 1
LCM(954,1933) = 1844082
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 7196/954, 1904/1933?
Answer: GCF of Numerators as per given numbers 7196/954, 1904/1933 is
GCF of Numerators i.e. for 7196,1904 is 28
LCM of denominators i.e. for 954,1933 is 1844082.
Thus, GCF of Fractions is 28/1844082.Finally, GCF of Fractions for 7196/954, 1904/1933 is 28/1844082.