Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1964/404,8026/695
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 1964,8026
Greatest Common Factor of Numerators i.e. GCF of 1964,8026 is 2 .
LCM of Denominators means LCM of 404,695 as per the given fractions.
LCM of 404,695 is 280780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1964,8026
2 | 1964, 8026 |
982, 4013 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1964
List of positive integer factors of 1964 that divides 1964 without a remainder.
1,2,4,491,982,1964
Factors of 8026
List of positive integer factors of 8026 that divides 8026 without a remainder.
1,2,4013,8026
Greatest Common Factor
We found the factors 1964,8026 . The biggest common factor number is the GCF number.
So the greatest common factor 1964,8026 is 2.
Lets's calculate LCM of 404,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 280780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/280780
Therefore, the GCF of Fractions 1964/404,8026/695 is 2/280780
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 404,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,695) x common factors =1 x 1 = 1
LCM(404,695) = ( 404 × 695 ) / 1
LCM(404,695) = 280780 / 1
LCM(404,695) = 280780
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 1964/404, 8026/695?
Answer: GCF of Numerators as per given numbers 1964/404, 8026/695 is
GCF of Numerators i.e. for 1964,8026 is 2
LCM of denominators i.e. for 404,695 is 280780.
Thus, GCF of Fractions is 2/280780.Finally, GCF of Fractions for 1964/404, 8026/695 is 2/280780.