Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8297/145,1377/2361
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 8297,1377
Greatest Common Factor of Numerators i.e. GCF of 8297,1377 is 1 .
LCM of Denominators means LCM of 145,2361 as per the given fractions.
LCM of 145,2361 is 342345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8297,1377
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8297
List of positive integer factors of 8297 that divides 8297 without a remainder.
1,8297
Factors of 1377
List of positive integer factors of 1377 that divides 1377 without a remainder.
1,3,9,17,27,51,81,153,459,1377
Greatest Common Factor
We found the factors 8297,1377 . The biggest common factor number is the GCF number.
So the greatest common factor 8297,1377 is 1.
Lets's calculate LCM of 145,2361
Given numbers has no common factors except 1. So, there LCM is their product i.e 342345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342345
Therefore, the GCF of Fractions 8297/145,1377/2361 is 1/342345
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 145,2361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,2361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,2361) x common factors =1 x 1 = 1
LCM(145,2361) = ( 145 × 2361 ) / 1
LCM(145,2361) = 342345 / 1
LCM(145,2361) = 342345
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 8297/145, 1377/2361?
Answer: GCF of Numerators as per given numbers 8297/145, 1377/2361 is
GCF of Numerators i.e. for 8297,1377 is 1
LCM of denominators i.e. for 145,2361 is 342345.
Thus, GCF of Fractions is 1/342345.Finally, GCF of Fractions for 8297/145, 1377/2361 is 1/342345.