Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5733/266,2863/6544
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 5733,2863
Greatest Common Factor of Numerators i.e. GCF of 5733,2863 is 7 .
LCM of Denominators means LCM of 266,6544 as per the given fractions.
LCM of 266,6544 is 870352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5733,2863
7 | 5733, 2863 |
819, 409 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 5733
List of positive integer factors of 5733 that divides 5733 without a remainder.
1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733
Factors of 2863
List of positive integer factors of 2863 that divides 2863 without a remainder.
1,7,409,2863
Greatest Common Factor
We found the factors 5733,2863 . The biggest common factor number is the GCF number.
So the greatest common factor 5733,2863 is 7.
Lets's calculate LCM of 266,6544
2 | 266, 6544 |
133, 3272 |
∴ So the LCM of the given numbers is 2 x 133 x 3272 = 870352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/870352
Therefore, the GCF of Fractions 5733/266,2863/6544 is 7/870352
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 266,6544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,6544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,6544) x common factors =2 x 1 = 2
LCM(266,6544) = ( 266 × 6544 ) / 2
LCM(266,6544) = 1740704 / 2
LCM(266,6544) = 870352
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 5733/266, 2863/6544?
Answer: GCF of Numerators as per given numbers 5733/266, 2863/6544 is
GCF of Numerators i.e. for 5733,2863 is 7
LCM of denominators i.e. for 266,6544 is 870352.
Thus, GCF of Fractions is 7/870352.Finally, GCF of Fractions for 5733/266, 2863/6544 is 7/870352.