Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9239/213,1036/1382
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 9239,1036
Greatest Common Factor of Numerators i.e. GCF of 9239,1036 is 1 .
LCM of Denominators means LCM of 213,1382 as per the given fractions.
LCM of 213,1382 is 294366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9239,1036
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9239
List of positive integer factors of 9239 that divides 9239 without a remainder.
1,9239
Factors of 1036
List of positive integer factors of 1036 that divides 1036 without a remainder.
1,2,4,7,14,28,37,74,148,259,518,1036
Greatest Common Factor
We found the factors 9239,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 9239,1036 is 1.
Lets's calculate LCM of 213,1382
Given numbers has no common factors except 1. So, there LCM is their product i.e 294366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294366
Therefore, the GCF of Fractions 9239/213,1036/1382 is 1/294366
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 213,1382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,1382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,1382) x common factors =1 x 1 = 1
LCM(213,1382) = ( 213 × 1382 ) / 1
LCM(213,1382) = 294366 / 1
LCM(213,1382) = 294366
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 9239/213, 1036/1382?
Answer: GCF of Numerators as per given numbers 9239/213, 1036/1382 is
GCF of Numerators i.e. for 9239,1036 is 1
LCM of denominators i.e. for 213,1382 is 294366.
Thus, GCF of Fractions is 1/294366.Finally, GCF of Fractions for 9239/213, 1036/1382 is 1/294366.