Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 736/87,394/81,100/255
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 736,394,100
Greatest Common Factor of Numerators i.e. GCF of 736,394,100 is 2 .
LCM of Denominators means LCM of 87,81,255 as per the given fractions.
LCM of 87,81,255 is 199665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 736,394,100
2 | 736, 394, 100 |
368, 197, 50 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 736,394,100 . The biggest common factor number is the GCF number.
So the greatest common factor 736,394,100 is 2.
Lets's calculate LCM of 87,81,255
3 | 87, 81, 255 |
29, 27, 85 |
∴ So the LCM of the given numbers is 3 x 29 x 27 x 85 = 199665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199665
Therefore, the GCF of Fractions 736/87,394/81,100/255 is 2/199665
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 87,81,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,81,255) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(87,81,255) x common factors =3 x 3 = 9
LCM(87,81,255) = ( 87 × 81 × 255 ) / 9
LCM(87,81,255) = 1796985 / 9
LCM(87,81,255) = 199665
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 736/87, 394/81, 100/255?
Answer: GCF of Numerators as per given numbers 736/87, 394/81, 100/255 is
GCF of Numerators i.e. for 736,394,100 is 2
LCM of denominators i.e. for 87,81,255 is 199665.
Thus, GCF of Fractions is 2/199665.Finally, GCF of Fractions for 736/87, 394/81, 100/255 is 2/199665.