Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4088/938,3144/183
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 4088,3144
Greatest Common Factor of Numerators i.e. GCF of 4088,3144 is 8 .
LCM of Denominators means LCM of 938,183 as per the given fractions.
LCM of 938,183 is 171654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4088,3144
2 | 4088, 3144 |
2 | 2044, 1572 |
2 | 1022, 786 |
511, 393 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 4088
List of positive integer factors of 4088 that divides 4088 without a remainder.
1,2,4,7,8,14,28,56,73,146,292,511,584,1022,2044,4088
Factors of 3144
List of positive integer factors of 3144 that divides 3144 without a remainder.
1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144
Greatest Common Factor
We found the factors 4088,3144 . The biggest common factor number is the GCF number.
So the greatest common factor 4088,3144 is 8.
Lets's calculate LCM of 938,183
Given numbers has no common factors except 1. So, there LCM is their product i.e 171654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/171654
Therefore, the GCF of Fractions 4088/938,3144/183 is 8/171654
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 938,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,183) x common factors =1 x 1 = 1
LCM(938,183) = ( 938 × 183 ) / 1
LCM(938,183) = 171654 / 1
LCM(938,183) = 171654
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 4088/938, 3144/183?
Answer: GCF of Numerators as per given numbers 4088/938, 3144/183 is
GCF of Numerators i.e. for 4088,3144 is 8
LCM of denominators i.e. for 938,183 is 171654.
Thus, GCF of Fractions is 8/171654.Finally, GCF of Fractions for 4088/938, 3144/183 is 8/171654.