Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8100/17,9708/630
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 8100,9708
Greatest Common Factor of Numerators i.e. GCF of 8100,9708 is 12 .
LCM of Denominators means LCM of 17,630 as per the given fractions.
LCM of 17,630 is 10710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8100,9708
2 | 8100, 9708 |
2 | 4050, 4854 |
3 | 2025, 2427 |
675, 809 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 8100
List of positive integer factors of 8100 that divides 8100 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Factors of 9708
List of positive integer factors of 9708 that divides 9708 without a remainder.
1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Greatest Common Factor
We found the factors 8100,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 8100,9708 is 12.
Lets's calculate LCM of 17,630
Given numbers has no common factors except 1. So, there LCM is their product i.e 10710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/10710
Therefore, the GCF of Fractions 8100/17,9708/630 is 12/10710
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 17,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,630) x common factors =1 x 1 = 1
LCM(17,630) = ( 17 × 630 ) / 1
LCM(17,630) = 10710 / 1
LCM(17,630) = 10710
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 8100/17, 9708/630?
Answer: GCF of Numerators as per given numbers 8100/17, 9708/630 is
GCF of Numerators i.e. for 8100,9708 is 12
LCM of denominators i.e. for 17,630 is 10710.
Thus, GCF of Fractions is 12/10710.Finally, GCF of Fractions for 8100/17, 9708/630 is 12/10710.