Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 479/663,892/396,411/904
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 479,892,411
Greatest Common Factor of Numerators i.e. GCF of 479,892,411 is 1 .
LCM of Denominators means LCM of 663,396,904 as per the given fractions.
LCM of 663,396,904 is 19778616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 479,892,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 479,892,411 . The biggest common factor number is the GCF number.
So the greatest common factor 479,892,411 is 1.
Lets's calculate LCM of 663,396,904
2 | 663, 396, 904 |
2 | 663, 198, 452 |
3 | 663, 99, 226 |
221, 33, 226 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 221 x 33 x 226 = 19778616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19778616
Therefore, the GCF of Fractions 479/663,892/396,411/904 is 1/19778616
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 663,396,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,396,904) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(663,396,904) x common factors =1 x 12 = 12
LCM(663,396,904) = ( 663 × 396 × 904 ) / 12
LCM(663,396,904) = 237343392 / 12
LCM(663,396,904) = 19778616
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 479/663, 892/396, 411/904?
Answer: GCF of Numerators as per given numbers 479/663, 892/396, 411/904 is
GCF of Numerators i.e. for 479,892,411 is 1
LCM of denominators i.e. for 663,396,904 is 19778616.
Thus, GCF of Fractions is 1/19778616.Finally, GCF of Fractions for 479/663, 892/396, 411/904 is 1/19778616.