Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8588/273,5951/598
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 8588,5951
Greatest Common Factor of Numerators i.e. GCF of 8588,5951 is 1 .
LCM of Denominators means LCM of 273,598 as per the given fractions.
LCM of 273,598 is 12558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8588,5951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8588
List of positive integer factors of 8588 that divides 8588 without a remainder.
1,2,4,19,38,76,113,226,452,2147,4294,8588
Factors of 5951
List of positive integer factors of 5951 that divides 5951 without a remainder.
1,11,541,5951
Greatest Common Factor
We found the factors 8588,5951 . The biggest common factor number is the GCF number.
So the greatest common factor 8588,5951 is 1.
Lets's calculate LCM of 273,598
13 | 273, 598 |
21, 46 |
∴ So the LCM of the given numbers is 13 x 21 x 46 = 12558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12558
Therefore, the GCF of Fractions 8588/273,5951/598 is 1/12558
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 273,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,598) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(273,598) x common factors =13 x 1 = 13
LCM(273,598) = ( 273 × 598 ) / 13
LCM(273,598) = 163254 / 13
LCM(273,598) = 12558
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 8588/273, 5951/598?
Answer: GCF of Numerators as per given numbers 8588/273, 5951/598 is
GCF of Numerators i.e. for 8588,5951 is 1
LCM of denominators i.e. for 273,598 is 12558.
Thus, GCF of Fractions is 1/12558.Finally, GCF of Fractions for 8588/273, 5951/598 is 1/12558.