Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2728/57,2942/185
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 2728,2942
Greatest Common Factor of Numerators i.e. GCF of 2728,2942 is 2 .
LCM of Denominators means LCM of 57,185 as per the given fractions.
LCM of 57,185 is 10545 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2728,2942
2 | 2728, 2942 |
1364, 1471 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2728
List of positive integer factors of 2728 that divides 2728 without a remainder.
1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728
Factors of 2942
List of positive integer factors of 2942 that divides 2942 without a remainder.
1,2,1471,2942
Greatest Common Factor
We found the factors 2728,2942 . The biggest common factor number is the GCF number.
So the greatest common factor 2728,2942 is 2.
Lets's calculate LCM of 57,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 10545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10545
Therefore, the GCF of Fractions 2728/57,2942/185 is 2/10545
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 57,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,185) x common factors =1 x 1 = 1
LCM(57,185) = ( 57 × 185 ) / 1
LCM(57,185) = 10545 / 1
LCM(57,185) = 10545
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 2728/57, 2942/185?
Answer: GCF of Numerators as per given numbers 2728/57, 2942/185 is
GCF of Numerators i.e. for 2728,2942 is 2
LCM of denominators i.e. for 57,185 is 10545.
Thus, GCF of Fractions is 2/10545.Finally, GCF of Fractions for 2728/57, 2942/185 is 2/10545.