Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2042/239,7252/174
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 2042,7252
Greatest Common Factor of Numerators i.e. GCF of 2042,7252 is 2 .
LCM of Denominators means LCM of 239,174 as per the given fractions.
LCM of 239,174 is 41586 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2042,7252
2 | 2042, 7252 |
1021, 3626 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2042
List of positive integer factors of 2042 that divides 2042 without a remainder.
1,2,1021,2042
Factors of 7252
List of positive integer factors of 7252 that divides 7252 without a remainder.
1,2,4,7,14,28,37,49,74,98,148,196,259,518,1036,1813,3626,7252
Greatest Common Factor
We found the factors 2042,7252 . The biggest common factor number is the GCF number.
So the greatest common factor 2042,7252 is 2.
Lets's calculate LCM of 239,174
Given numbers has no common factors except 1. So, there LCM is their product i.e 41586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41586
Therefore, the GCF of Fractions 2042/239,7252/174 is 2/41586
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 239,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,174) x common factors =1 x 1 = 1
LCM(239,174) = ( 239 × 174 ) / 1
LCM(239,174) = 41586 / 1
LCM(239,174) = 41586
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 2042/239, 7252/174?
Answer: GCF of Numerators as per given numbers 2042/239, 7252/174 is
GCF of Numerators i.e. for 2042,7252 is 2
LCM of denominators i.e. for 239,174 is 41586.
Thus, GCF of Fractions is 2/41586.Finally, GCF of Fractions for 2042/239, 7252/174 is 2/41586.