Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1936/378,2504/2739
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 1936,2504
Greatest Common Factor of Numerators i.e. GCF of 1936,2504 is 8 .
LCM of Denominators means LCM of 378,2739 as per the given fractions.
LCM of 378,2739 is 345114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1936,2504
2 | 1936, 2504 |
2 | 968, 1252 |
2 | 484, 626 |
242, 313 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 1936
List of positive integer factors of 1936 that divides 1936 without a remainder.
1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936
Factors of 2504
List of positive integer factors of 2504 that divides 2504 without a remainder.
1,2,4,8,313,626,1252,2504
Greatest Common Factor
We found the factors 1936,2504 . The biggest common factor number is the GCF number.
So the greatest common factor 1936,2504 is 8.
Lets's calculate LCM of 378,2739
3 | 378, 2739 |
126, 913 |
∴ So the LCM of the given numbers is 3 x 126 x 913 = 345114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/345114
Therefore, the GCF of Fractions 1936/378,2504/2739 is 8/345114
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 378,2739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,2739) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,2739) x common factors =3 x 1 = 3
LCM(378,2739) = ( 378 × 2739 ) / 3
LCM(378,2739) = 1035342 / 3
LCM(378,2739) = 345114
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 1936/378, 2504/2739?
Answer: GCF of Numerators as per given numbers 1936/378, 2504/2739 is
GCF of Numerators i.e. for 1936,2504 is 8
LCM of denominators i.e. for 378,2739 is 345114.
Thus, GCF of Fractions is 8/345114.Finally, GCF of Fractions for 1936/378, 2504/2739 is 8/345114.