Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/108,300/515
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 84,300
Greatest Common Factor of Numerators i.e. GCF of 84,300 is 12 .
LCM of Denominators means LCM of 108,515 as per the given fractions.
LCM of 108,515 is 55620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,300
2 | 84, 300 |
2 | 42, 150 |
3 | 21, 75 |
7, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 84,300 . The biggest common factor number is the GCF number.
So the greatest common factor 84,300 is 12.
Lets's calculate LCM of 108,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 55620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/55620
Therefore, the GCF of Fractions 84/108,300/515 is 12/55620
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 108,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,515) x common factors =1 x 1 = 1
LCM(108,515) = ( 108 × 515 ) / 1
LCM(108,515) = 55620 / 1
LCM(108,515) = 55620
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 84/108, 300/515?
Answer: GCF of Numerators as per given numbers 84/108, 300/515 is
GCF of Numerators i.e. for 84,300 is 12
LCM of denominators i.e. for 108,515 is 55620.
Thus, GCF of Fractions is 12/55620.Finally, GCF of Fractions for 84/108, 300/515 is 12/55620.