Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/938,2829/3565
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 399,2829
Greatest Common Factor of Numerators i.e. GCF of 399,2829 is 3 .
LCM of Denominators means LCM of 938,3565 as per the given fractions.
LCM of 938,3565 is 3343970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 399,2829
3 | 399, 2829 |
133, 943 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 2829
List of positive integer factors of 2829 that divides 2829 without a remainder.
1,3,23,41,69,123,943,2829
Greatest Common Factor
We found the factors 399,2829 . The biggest common factor number is the GCF number.
So the greatest common factor 399,2829 is 3.
Lets's calculate LCM of 938,3565
Given numbers has no common factors except 1. So, there LCM is their product i.e 3343970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3343970
Therefore, the GCF of Fractions 399/938,2829/3565 is 3/3343970
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 938,3565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,3565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,3565) x common factors =1 x 1 = 1
LCM(938,3565) = ( 938 × 3565 ) / 1
LCM(938,3565) = 3343970 / 1
LCM(938,3565) = 3343970
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 399/938, 2829/3565?
Answer: GCF of Numerators as per given numbers 399/938, 2829/3565 is
GCF of Numerators i.e. for 399,2829 is 3
LCM of denominators i.e. for 938,3565 is 3343970.
Thus, GCF of Fractions is 3/3343970.Finally, GCF of Fractions for 399/938, 2829/3565 is 3/3343970.