Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 473/18,444/17,762/585
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 473,444,762
Greatest Common Factor of Numerators i.e. GCF of 473,444,762 is 1 .
LCM of Denominators means LCM of 18,17,585 as per the given fractions.
LCM of 18,17,585 is 19890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 473,444,762
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 473,444,762 . The biggest common factor number is the GCF number.
So the greatest common factor 473,444,762 is 1.
Lets's calculate LCM of 18,17,585
3 | 18, 17, 585 |
3 | 6, 17, 195 |
2, 17, 65 |
∴ So the LCM of the given numbers is 3 x 3 x 2 x 17 x 65 = 19890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19890
Therefore, the GCF of Fractions 473/18,444/17,762/585 is 1/19890
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 18,17,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,17,585) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(18,17,585) x common factors =1 x 9 = 9
LCM(18,17,585) = ( 18 × 17 × 585 ) / 9
LCM(18,17,585) = 179010 / 9
LCM(18,17,585) = 19890
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 473/18, 444/17, 762/585?
Answer: GCF of Numerators as per given numbers 473/18, 444/17, 762/585 is
GCF of Numerators i.e. for 473,444,762 is 1
LCM of denominators i.e. for 18,17,585 is 19890.
Thus, GCF of Fractions is 1/19890.Finally, GCF of Fractions for 473/18, 444/17, 762/585 is 1/19890.