Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2882/411,8203/839
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 2882,8203
Greatest Common Factor of Numerators i.e. GCF of 2882,8203 is 1 .
LCM of Denominators means LCM of 411,839 as per the given fractions.
LCM of 411,839 is 344829 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2882,8203
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2882
List of positive integer factors of 2882 that divides 2882 without a remainder.
1,2,11,22,131,262,1441,2882
Factors of 8203
List of positive integer factors of 8203 that divides 8203 without a remainder.
1,13,631,8203
Greatest Common Factor
We found the factors 2882,8203 . The biggest common factor number is the GCF number.
So the greatest common factor 2882,8203 is 1.
Lets's calculate LCM of 411,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 344829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344829
Therefore, the GCF of Fractions 2882/411,8203/839 is 1/344829
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 411,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,839) x common factors =1 x 1 = 1
LCM(411,839) = ( 411 × 839 ) / 1
LCM(411,839) = 344829 / 1
LCM(411,839) = 344829
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 2882/411, 8203/839?
Answer: GCF of Numerators as per given numbers 2882/411, 8203/839 is
GCF of Numerators i.e. for 2882,8203 is 1
LCM of denominators i.e. for 411,839 is 344829.
Thus, GCF of Fractions is 1/344829.Finally, GCF of Fractions for 2882/411, 8203/839 is 1/344829.