Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 338/21,996/85,722/599
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 338,996,722
Greatest Common Factor of Numerators i.e. GCF of 338,996,722 is 2 .
LCM of Denominators means LCM of 21,85,599 as per the given fractions.
LCM of 21,85,599 is 1069215 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 338,996,722
2 | 338, 996, 722 |
169, 498, 361 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 338,996,722 . The biggest common factor number is the GCF number.
So the greatest common factor 338,996,722 is 2.
Lets's calculate LCM of 21,85,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 1069215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1069215
Therefore, the GCF of Fractions 338/21,996/85,722/599 is 2/1069215
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 21,85,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,85,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,85,599) x common factors =1 x 1 = 1
LCM(21,85,599) = ( 21 × 85 × 599 ) / 1
LCM(21,85,599) = 1069215 / 1
LCM(21,85,599) = 1069215
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 338/21, 996/85, 722/599?
Answer: GCF of Numerators as per given numbers 338/21, 996/85, 722/599 is
GCF of Numerators i.e. for 338,996,722 is 2
LCM of denominators i.e. for 21,85,599 is 1069215.
Thus, GCF of Fractions is 2/1069215.Finally, GCF of Fractions for 338/21, 996/85, 722/599 is 2/1069215.