Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 677/35,868/483
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 677,868
Greatest Common Factor of Numerators i.e. GCF of 677,868 is 1 .
LCM of Denominators means LCM of 35,483 as per the given fractions.
LCM of 35,483 is 2415 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 677,868
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 677,868 . The biggest common factor number is the GCF number.
So the greatest common factor 677,868 is 1.
Lets's calculate LCM of 35,483
7 | 35, 483 |
5, 69 |
∴ So the LCM of the given numbers is 7 x 5 x 69 = 2415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2415
Therefore, the GCF of Fractions 677/35,868/483 is 1/2415
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 35,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,483) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(35,483) x common factors =7 x 1 = 7
LCM(35,483) = ( 35 × 483 ) / 7
LCM(35,483) = 16905 / 7
LCM(35,483) = 2415
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 677/35, 868/483?
Answer: GCF of Numerators as per given numbers 677/35, 868/483 is
GCF of Numerators i.e. for 677,868 is 1
LCM of denominators i.e. for 35,483 is 2415.
Thus, GCF of Fractions is 1/2415.Finally, GCF of Fractions for 677/35, 868/483 is 1/2415.