Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/883,8310/2238
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 257,8310
Greatest Common Factor of Numerators i.e. GCF of 257,8310 is 1 .
LCM of Denominators means LCM of 883,2238 as per the given fractions.
LCM of 883,2238 is 1976154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,8310
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 8310
List of positive integer factors of 8310 that divides 8310 without a remainder.
1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310
Greatest Common Factor
We found the factors 257,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 257,8310 is 1.
Lets's calculate LCM of 883,2238
Given numbers has no common factors except 1. So, there LCM is their product i.e 1976154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1976154
Therefore, the GCF of Fractions 257/883,8310/2238 is 1/1976154
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 883,2238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,2238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,2238) x common factors =1 x 1 = 1
LCM(883,2238) = ( 883 × 2238 ) / 1
LCM(883,2238) = 1976154 / 1
LCM(883,2238) = 1976154
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 257/883, 8310/2238?
Answer: GCF of Numerators as per given numbers 257/883, 8310/2238 is
GCF of Numerators i.e. for 257,8310 is 1
LCM of denominators i.e. for 883,2238 is 1976154.
Thus, GCF of Fractions is 1/1976154.Finally, GCF of Fractions for 257/883, 8310/2238 is 1/1976154.