Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 669/259,449/468,975/392
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 669,449,975
Greatest Common Factor of Numerators i.e. GCF of 669,449,975 is 1 .
LCM of Denominators means LCM of 259,468,392 as per the given fractions.
LCM of 259,468,392 is 1696968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 669,449,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 669,449,975 . The biggest common factor number is the GCF number.
So the greatest common factor 669,449,975 is 1.
Lets's calculate LCM of 259,468,392
2 | 259, 468, 392 |
2 | 259, 234, 196 |
7 | 259, 117, 98 |
37, 117, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 37 x 117 x 14 = 1696968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1696968
Therefore, the GCF of Fractions 669/259,449/468,975/392 is 1/1696968
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 259,468,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,468,392) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(259,468,392) x common factors =1 x 28 = 28
LCM(259,468,392) = ( 259 × 468 × 392 ) / 28
LCM(259,468,392) = 47515104 / 28
LCM(259,468,392) = 1696968
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 669/259, 449/468, 975/392?
Answer: GCF of Numerators as per given numbers 669/259, 449/468, 975/392 is
GCF of Numerators i.e. for 669,449,975 is 1
LCM of denominators i.e. for 259,468,392 is 1696968.
Thus, GCF of Fractions is 1/1696968.Finally, GCF of Fractions for 669/259, 449/468, 975/392 is 1/1696968.