Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2987/29,6826/557
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 2987,6826
Greatest Common Factor of Numerators i.e. GCF of 2987,6826 is 1 .
LCM of Denominators means LCM of 29,557 as per the given fractions.
LCM of 29,557 is 16153 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2987,6826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2987
List of positive integer factors of 2987 that divides 2987 without a remainder.
1,29,103,2987
Factors of 6826
List of positive integer factors of 6826 that divides 6826 without a remainder.
1,2,3413,6826
Greatest Common Factor
We found the factors 2987,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 2987,6826 is 1.
Lets's calculate LCM of 29,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 16153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16153
Therefore, the GCF of Fractions 2987/29,6826/557 is 1/16153
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 29,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,557) x common factors =1 x 1 = 1
LCM(29,557) = ( 29 × 557 ) / 1
LCM(29,557) = 16153 / 1
LCM(29,557) = 16153
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 2987/29, 6826/557?
Answer: GCF of Numerators as per given numbers 2987/29, 6826/557 is
GCF of Numerators i.e. for 2987,6826 is 1
LCM of denominators i.e. for 29,557 is 16153.
Thus, GCF of Fractions is 1/16153.Finally, GCF of Fractions for 2987/29, 6826/557 is 1/16153.