Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/82,90/55,86/99,25/219
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 99,90,86,25
Greatest Common Factor of Numerators i.e. GCF of 99,90,86,25 is 1 .
LCM of Denominators means LCM of 82,55,99,219 as per the given fractions.
LCM of 82,55,99,219 is 2963070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,90,86,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 99,90,86,25 . The biggest common factor number is the GCF number.
So the greatest common factor 99,90,86,25 is 1.
Lets's calculate LCM of 82,55,99,219
3 | 82, 55, 99, 219 |
11 | 82, 55, 33, 73 |
82, 5, 3, 73 |
∴ So the LCM of the given numbers is 3 x 11 x 82 x 5 x 3 x 73 = 2963070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2963070
Therefore, the GCF of Fractions 99/82,90/55,86/99,25/219 is 1/2963070
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 82,55,99,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,55,99,219) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(82,55,99,219) x common factors =1 x 33 = 33
LCM(82,55,99,219) = ( 82 × 55 × 99 × 219 ) / 33
LCM(82,55,99,219) = 97781310 / 33
LCM(82,55,99,219) = 2963070
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 99/82, 90/55, 86/99, 25/219?
Answer: GCF of Numerators as per given numbers 99/82, 90/55, 86/99, 25/219 is
GCF of Numerators i.e. for 99,90,86,25 is 1
LCM of denominators i.e. for 82,55,99,219 is 2963070.
Thus, GCF of Fractions is 1/2963070.Finally, GCF of Fractions for 99/82, 90/55, 86/99, 25/219 is 1/2963070.