Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1616/929,5262/2990
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 1616,5262
Greatest Common Factor of Numerators i.e. GCF of 1616,5262 is 2 .
LCM of Denominators means LCM of 929,2990 as per the given fractions.
LCM of 929,2990 is 2777710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1616,5262
2 | 1616, 5262 |
808, 2631 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1616
List of positive integer factors of 1616 that divides 1616 without a remainder.
1,2,4,8,16,101,202,404,808,1616
Factors of 5262
List of positive integer factors of 5262 that divides 5262 without a remainder.
1,2,3,6,877,1754,2631,5262
Greatest Common Factor
We found the factors 1616,5262 . The biggest common factor number is the GCF number.
So the greatest common factor 1616,5262 is 2.
Lets's calculate LCM of 929,2990
Given numbers has no common factors except 1. So, there LCM is their product i.e 2777710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2777710
Therefore, the GCF of Fractions 1616/929,5262/2990 is 2/2777710
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 929,2990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,2990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,2990) x common factors =1 x 1 = 1
LCM(929,2990) = ( 929 × 2990 ) / 1
LCM(929,2990) = 2777710 / 1
LCM(929,2990) = 2777710
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 1616/929, 5262/2990?
Answer: GCF of Numerators as per given numbers 1616/929, 5262/2990 is
GCF of Numerators i.e. for 1616,5262 is 2
LCM of denominators i.e. for 929,2990 is 2777710.
Thus, GCF of Fractions is 2/2777710.Finally, GCF of Fractions for 1616/929, 5262/2990 is 2/2777710.