Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/384,361/290,569/674
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 832,361,569
Greatest Common Factor of Numerators i.e. GCF of 832,361,569 is 1 .
LCM of Denominators means LCM of 384,290,674 as per the given fractions.
LCM of 384,290,674 is 18764160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,361,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 832,361,569 . The biggest common factor number is the GCF number.
So the greatest common factor 832,361,569 is 1.
Lets's calculate LCM of 384,290,674
2 | 384, 290, 674 |
192, 145, 337 |
∴ So the LCM of the given numbers is 2 x 192 x 145 x 337 = 18764160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18764160
Therefore, the GCF of Fractions 832/384,361/290,569/674 is 1/18764160
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 384,290,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,290,674) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(384,290,674) x common factors =2 x 2 = 4
LCM(384,290,674) = ( 384 × 290 × 674 ) / 4
LCM(384,290,674) = 75056640 / 4
LCM(384,290,674) = 18764160
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 832/384, 361/290, 569/674?
Answer: GCF of Numerators as per given numbers 832/384, 361/290, 569/674 is
GCF of Numerators i.e. for 832,361,569 is 1
LCM of denominators i.e. for 384,290,674 is 18764160.
Thus, GCF of Fractions is 1/18764160.Finally, GCF of Fractions for 832/384, 361/290, 569/674 is 1/18764160.