Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2148/436,9537/3912
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 2148,9537
Greatest Common Factor of Numerators i.e. GCF of 2148,9537 is 3 .
LCM of Denominators means LCM of 436,3912 as per the given fractions.
LCM of 436,3912 is 426408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2148,9537
3 | 2148, 9537 |
716, 3179 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2148
List of positive integer factors of 2148 that divides 2148 without a remainder.
1,2,3,4,6,12,179,358,537,716,1074,2148
Factors of 9537
List of positive integer factors of 9537 that divides 9537 without a remainder.
1,3,11,17,33,51,187,289,561,867,3179,9537
Greatest Common Factor
We found the factors 2148,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 2148,9537 is 3.
Lets's calculate LCM of 436,3912
2 | 436, 3912 |
2 | 218, 1956 |
109, 978 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 978 = 426408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/426408
Therefore, the GCF of Fractions 2148/436,9537/3912 is 3/426408
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 436,3912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,3912) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,3912) x common factors =4 x 1 = 4
LCM(436,3912) = ( 436 × 3912 ) / 4
LCM(436,3912) = 1705632 / 4
LCM(436,3912) = 426408
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 2148/436, 9537/3912?
Answer: GCF of Numerators as per given numbers 2148/436, 9537/3912 is
GCF of Numerators i.e. for 2148,9537 is 3
LCM of denominators i.e. for 436,3912 is 426408.
Thus, GCF of Fractions is 3/426408.Finally, GCF of Fractions for 2148/436, 9537/3912 is 3/426408.