Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1658/261,5798/325
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 1658,5798
Greatest Common Factor of Numerators i.e. GCF of 1658,5798 is 2 .
LCM of Denominators means LCM of 261,325 as per the given fractions.
LCM of 261,325 is 84825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1658,5798
2 | 1658, 5798 |
829, 2899 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1658
List of positive integer factors of 1658 that divides 1658 without a remainder.
1,2,829,1658
Factors of 5798
List of positive integer factors of 5798 that divides 5798 without a remainder.
1,2,13,26,223,446,2899,5798
Greatest Common Factor
We found the factors 1658,5798 . The biggest common factor number is the GCF number.
So the greatest common factor 1658,5798 is 2.
Lets's calculate LCM of 261,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 84825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84825
Therefore, the GCF of Fractions 1658/261,5798/325 is 2/84825
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 261,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,325) x common factors =1 x 1 = 1
LCM(261,325) = ( 261 × 325 ) / 1
LCM(261,325) = 84825 / 1
LCM(261,325) = 84825
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 1658/261, 5798/325?
Answer: GCF of Numerators as per given numbers 1658/261, 5798/325 is
GCF of Numerators i.e. for 1658,5798 is 2
LCM of denominators i.e. for 261,325 is 84825.
Thus, GCF of Fractions is 2/84825.Finally, GCF of Fractions for 1658/261, 5798/325 is 2/84825.