Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3612/936,7932/2200
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 3612,7932
Greatest Common Factor of Numerators i.e. GCF of 3612,7932 is 12 .
LCM of Denominators means LCM of 936,2200 as per the given fractions.
LCM of 936,2200 is 257400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3612,7932
2 | 3612, 7932 |
2 | 1806, 3966 |
3 | 903, 1983 |
301, 661 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 3612
List of positive integer factors of 3612 that divides 3612 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Factors of 7932
List of positive integer factors of 7932 that divides 7932 without a remainder.
1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Greatest Common Factor
We found the factors 3612,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 3612,7932 is 12.
Lets's calculate LCM of 936,2200
2 | 936, 2200 |
2 | 468, 1100 |
2 | 234, 550 |
117, 275 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 275 = 257400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/257400
Therefore, the GCF of Fractions 3612/936,7932/2200 is 12/257400
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 936,2200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,2200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(936,2200) x common factors =8 x 1 = 8
LCM(936,2200) = ( 936 × 2200 ) / 8
LCM(936,2200) = 2059200 / 8
LCM(936,2200) = 257400
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 3612/936, 7932/2200?
Answer: GCF of Numerators as per given numbers 3612/936, 7932/2200 is
GCF of Numerators i.e. for 3612,7932 is 12
LCM of denominators i.e. for 936,2200 is 257400.
Thus, GCF of Fractions is 12/257400.Finally, GCF of Fractions for 3612/936, 7932/2200 is 12/257400.