Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/43,279/5999
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 279,279
Greatest Common Factor of Numerators i.e. GCF of 279,279 is 279 .
LCM of Denominators means LCM of 43,5999 as per the given fractions.
LCM of 43,5999 is 257957 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 279,279
3 | 279, 279 |
3 | 93, 93 |
31 | 31, 31 |
1, 1 |
∴ So the GCF of the given numbers is 3 x 3 x 31 = 279
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 279,279 . The biggest common factor number is the GCF number.
So the greatest common factor 279,279 is 279.
Lets's calculate LCM of 43,5999
Given numbers has no common factors except 1. So, there LCM is their product i.e 257957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 279/257957
Therefore, the GCF of Fractions 279/43,279/5999 is 279/257957
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 43,5999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,5999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,5999) x common factors =1 x 1 = 1
LCM(43,5999) = ( 43 × 5999 ) / 1
LCM(43,5999) = 257957 / 1
LCM(43,5999) = 257957
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 279/43, 279/5999?
Answer: GCF of Numerators as per given numbers 279/43, 279/5999 is
GCF of Numerators i.e. for 279,279 is 279
LCM of denominators i.e. for 43,5999 is 257957.
Thus, GCF of Fractions is 279/257957.Finally, GCF of Fractions for 279/43, 279/5999 is 279/257957.