Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3979/987,3311/521
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 3979,3311
Greatest Common Factor of Numerators i.e. GCF of 3979,3311 is 1 .
LCM of Denominators means LCM of 987,521 as per the given fractions.
LCM of 987,521 is 514227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3979,3311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3979
List of positive integer factors of 3979 that divides 3979 without a remainder.
1,23,173,3979
Factors of 3311
List of positive integer factors of 3311 that divides 3311 without a remainder.
1,7,11,43,77,301,473,3311
Greatest Common Factor
We found the factors 3979,3311 . The biggest common factor number is the GCF number.
So the greatest common factor 3979,3311 is 1.
Lets's calculate LCM of 987,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 514227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514227
Therefore, the GCF of Fractions 3979/987,3311/521 is 1/514227
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 987,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,521) x common factors =1 x 1 = 1
LCM(987,521) = ( 987 × 521 ) / 1
LCM(987,521) = 514227 / 1
LCM(987,521) = 514227
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 3979/987, 3311/521?
Answer: GCF of Numerators as per given numbers 3979/987, 3311/521 is
GCF of Numerators i.e. for 3979,3311 is 1
LCM of denominators i.e. for 987,521 is 514227.
Thus, GCF of Fractions is 1/514227.Finally, GCF of Fractions for 3979/987, 3311/521 is 1/514227.