Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/53,99/80,82/96,574/91
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 86,99,82,574
Greatest Common Factor of Numerators i.e. GCF of 86,99,82,574 is 1 .
LCM of Denominators means LCM of 53,80,96,91 as per the given fractions.
LCM of 53,80,96,91 is 2315040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,99,82,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 86,99,82,574 . The biggest common factor number is the GCF number.
So the greatest common factor 86,99,82,574 is 1.
Lets's calculate LCM of 53,80,96,91
2 | 53, 80, 96, 91 |
2 | 53, 40, 48, 91 |
2 | 53, 20, 24, 91 |
2 | 53, 10, 12, 91 |
53, 5, 6, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 5 x 6 x 91 = 2315040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2315040
Therefore, the GCF of Fractions 86/53,99/80,82/96,574/91 is 1/2315040
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 53,80,96,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,80,96,91) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(53,80,96,91) x common factors =1 x 16 = 16
LCM(53,80,96,91) = ( 53 × 80 × 96 × 91 ) / 16
LCM(53,80,96,91) = 37040640 / 16
LCM(53,80,96,91) = 2315040
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 86/53, 99/80, 82/96, 574/91?
Answer: GCF of Numerators as per given numbers 86/53, 99/80, 82/96, 574/91 is
GCF of Numerators i.e. for 86,99,82,574 is 1
LCM of denominators i.e. for 53,80,96,91 is 2315040.
Thus, GCF of Fractions is 1/2315040.Finally, GCF of Fractions for 86/53, 99/80, 82/96, 574/91 is 1/2315040.