Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 504/5687,469/4649
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 504,469
Greatest Common Factor of Numerators i.e. GCF of 504,469 is 7 .
LCM of Denominators means LCM of 5687,4649 as per the given fractions.
LCM of 5687,4649 is 26438863 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 504,469
7 | 504, 469 |
72, 67 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 504,469 . The biggest common factor number is the GCF number.
So the greatest common factor 504,469 is 7.
Lets's calculate LCM of 5687,4649
Given numbers has no common factors except 1. So, there LCM is their product i.e 26438863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/26438863
Therefore, the GCF of Fractions 504/5687,469/4649 is 7/26438863
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 5687,4649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5687,4649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5687,4649) x common factors =1 x 1 = 1
LCM(5687,4649) = ( 5687 × 4649 ) / 1
LCM(5687,4649) = 26438863 / 1
LCM(5687,4649) = 26438863
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 504/5687, 469/4649?
Answer: GCF of Numerators as per given numbers 504/5687, 469/4649 is
GCF of Numerators i.e. for 504,469 is 7
LCM of denominators i.e. for 5687,4649 is 26438863.
Thus, GCF of Fractions is 7/26438863.Finally, GCF of Fractions for 504/5687, 469/4649 is 7/26438863.