Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9112/905,3892/9698
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 9112,3892
Greatest Common Factor of Numerators i.e. GCF of 9112,3892 is 4 .
LCM of Denominators means LCM of 905,9698 as per the given fractions.
LCM of 905,9698 is 8776690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9112,3892
2 | 9112, 3892 |
2 | 4556, 1946 |
2278, 973 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9112
List of positive integer factors of 9112 that divides 9112 without a remainder.
1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Factors of 3892
List of positive integer factors of 3892 that divides 3892 without a remainder.
1,2,4,7,14,28,139,278,556,973,1946,3892
Greatest Common Factor
We found the factors 9112,3892 . The biggest common factor number is the GCF number.
So the greatest common factor 9112,3892 is 4.
Lets's calculate LCM of 905,9698
Given numbers has no common factors except 1. So, there LCM is their product i.e 8776690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8776690
Therefore, the GCF of Fractions 9112/905,3892/9698 is 4/8776690
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 905,9698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,9698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,9698) x common factors =1 x 1 = 1
LCM(905,9698) = ( 905 × 9698 ) / 1
LCM(905,9698) = 8776690 / 1
LCM(905,9698) = 8776690
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 9112/905, 3892/9698?
Answer: GCF of Numerators as per given numbers 9112/905, 3892/9698 is
GCF of Numerators i.e. for 9112,3892 is 4
LCM of denominators i.e. for 905,9698 is 8776690.
Thus, GCF of Fractions is 4/8776690.Finally, GCF of Fractions for 9112/905, 3892/9698 is 4/8776690.