Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 446/625,534/902,346/600
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 446,534,346
Greatest Common Factor of Numerators i.e. GCF of 446,534,346 is 2 .
LCM of Denominators means LCM of 625,902,600 as per the given fractions.
LCM of 625,902,600 is 6765000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 446,534,346
2 | 446, 534, 346 |
223, 267, 173 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 446,534,346 . The biggest common factor number is the GCF number.
So the greatest common factor 446,534,346 is 2.
Lets's calculate LCM of 625,902,600
2 | 625, 902, 600 |
5 | 625, 451, 300 |
5 | 125, 451, 60 |
25, 451, 12 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 25 x 451 x 12 = 6765000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6765000
Therefore, the GCF of Fractions 446/625,534/902,346/600 is 2/6765000
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 625,902,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,902,600) = 1
common factors(in case of two or more numbers have common factors) = 50
GCF(625,902,600) x common factors =1 x 50 = 50
LCM(625,902,600) = ( 625 × 902 × 600 ) / 50
LCM(625,902,600) = 338250000 / 50
LCM(625,902,600) = 6765000
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 446/625, 534/902, 346/600?
Answer: GCF of Numerators as per given numbers 446/625, 534/902, 346/600 is
GCF of Numerators i.e. for 446,534,346 is 2
LCM of denominators i.e. for 625,902,600 is 6765000.
Thus, GCF of Fractions is 2/6765000.Finally, GCF of Fractions for 446/625, 534/902, 346/600 is 2/6765000.