Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/497,802/568,331/388
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 279,802,331
Greatest Common Factor of Numerators i.e. GCF of 279,802,331 is 1 .
LCM of Denominators means LCM of 497,568,388 as per the given fractions.
LCM of 497,568,388 is 385672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 279,802,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 279,802,331 . The biggest common factor number is the GCF number.
So the greatest common factor 279,802,331 is 1.
Lets's calculate LCM of 497,568,388
2 | 497, 568, 388 |
2 | 497, 284, 194 |
71 | 497, 142, 97 |
7, 2, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 7 x 2 x 97 = 385672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385672
Therefore, the GCF of Fractions 279/497,802/568,331/388 is 1/385672
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 497,568,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,568,388) = 1
common factors(in case of two or more numbers have common factors) = 284
GCF(497,568,388) x common factors =1 x 284 = 284
LCM(497,568,388) = ( 497 × 568 × 388 ) / 284
LCM(497,568,388) = 109530848 / 284
LCM(497,568,388) = 385672
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 279/497, 802/568, 331/388?
Answer: GCF of Numerators as per given numbers 279/497, 802/568, 331/388 is
GCF of Numerators i.e. for 279,802,331 is 1
LCM of denominators i.e. for 497,568,388 is 385672.
Thus, GCF of Fractions is 1/385672.Finally, GCF of Fractions for 279/497, 802/568, 331/388 is 1/385672.