Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 608/335,209/867
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 608,209
Greatest Common Factor of Numerators i.e. GCF of 608,209 is 19 .
LCM of Denominators means LCM of 335,867 as per the given fractions.
LCM of 335,867 is 290445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 608,209
19 | 608, 209 |
32, 11 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 608,209 . The biggest common factor number is the GCF number.
So the greatest common factor 608,209 is 19.
Lets's calculate LCM of 335,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 290445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/290445
Therefore, the GCF of Fractions 608/335,209/867 is 19/290445
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 335,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,867) x common factors =1 x 1 = 1
LCM(335,867) = ( 335 × 867 ) / 1
LCM(335,867) = 290445 / 1
LCM(335,867) = 290445
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 608/335, 209/867?
Answer: GCF of Numerators as per given numbers 608/335, 209/867 is
GCF of Numerators i.e. for 608,209 is 19
LCM of denominators i.e. for 335,867 is 290445.
Thus, GCF of Fractions is 19/290445.Finally, GCF of Fractions for 608/335, 209/867 is 19/290445.