Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/61,399/9719
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 279,399
Greatest Common Factor of Numerators i.e. GCF of 279,399 is 3 .
LCM of Denominators means LCM of 61,9719 as per the given fractions.
LCM of 61,9719 is 592859 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 279,399
3 | 279, 399 |
93, 133 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 279,399 . The biggest common factor number is the GCF number.
So the greatest common factor 279,399 is 3.
Lets's calculate LCM of 61,9719
Given numbers has no common factors except 1. So, there LCM is their product i.e 592859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/592859
Therefore, the GCF of Fractions 279/61,399/9719 is 3/592859
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 61,9719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,9719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,9719) x common factors =1 x 1 = 1
LCM(61,9719) = ( 61 × 9719 ) / 1
LCM(61,9719) = 592859 / 1
LCM(61,9719) = 592859
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 279/61, 399/9719?
Answer: GCF of Numerators as per given numbers 279/61, 399/9719 is
GCF of Numerators i.e. for 279,399 is 3
LCM of denominators i.e. for 61,9719 is 592859.
Thus, GCF of Fractions is 3/592859.Finally, GCF of Fractions for 279/61, 399/9719 is 3/592859.