Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/792,75/864,404/319
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 71,75,404
Greatest Common Factor of Numerators i.e. GCF of 71,75,404 is 1 .
LCM of Denominators means LCM of 792,864,319 as per the given fractions.
LCM of 792,864,319 is 275616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 71,75,404
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 71,75,404 . The biggest common factor number is the GCF number.
So the greatest common factor 71,75,404 is 1.
Lets's calculate LCM of 792,864,319
2 | 792, 864, 319 |
2 | 396, 432, 319 |
2 | 198, 216, 319 |
3 | 99, 108, 319 |
3 | 33, 36, 319 |
11 | 11, 12, 319 |
1, 12, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 1 x 12 x 29 = 275616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275616
Therefore, the GCF of Fractions 71/792,75/864,404/319 is 1/275616
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 792,864,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,864,319) = 1
common factors(in case of two or more numbers have common factors) = 792
GCF(792,864,319) x common factors =1 x 792 = 792
LCM(792,864,319) = ( 792 × 864 × 319 ) / 792
LCM(792,864,319) = 218287872 / 792
LCM(792,864,319) = 275616
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 71/792, 75/864, 404/319?
Answer: GCF of Numerators as per given numbers 71/792, 75/864, 404/319 is
GCF of Numerators i.e. for 71,75,404 is 1
LCM of denominators i.e. for 792,864,319 is 275616.
Thus, GCF of Fractions is 1/275616.Finally, GCF of Fractions for 71/792, 75/864, 404/319 is 1/275616.