Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 192/906,567/810,813/822
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 192,567,813
Greatest Common Factor of Numerators i.e. GCF of 192,567,813 is 3 .
LCM of Denominators means LCM of 906,810,822 as per the given fractions.
LCM of 906,810,822 is 16756470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 192,567,813
3 | 192, 567, 813 |
64, 189, 271 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 192,567,813 . The biggest common factor number is the GCF number.
So the greatest common factor 192,567,813 is 3.
Lets's calculate LCM of 906,810,822
2 | 906, 810, 822 |
3 | 453, 405, 411 |
151, 135, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 135 x 137 = 16756470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16756470
Therefore, the GCF of Fractions 192/906,567/810,813/822 is 3/16756470
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 906,810,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,810,822) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(906,810,822) x common factors =6 x 6 = 36
LCM(906,810,822) = ( 906 × 810 × 822 ) / 36
LCM(906,810,822) = 603232920 / 36
LCM(906,810,822) = 16756470
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 192/906, 567/810, 813/822?
Answer: GCF of Numerators as per given numbers 192/906, 567/810, 813/822 is
GCF of Numerators i.e. for 192,567,813 is 3
LCM of denominators i.e. for 906,810,822 is 16756470.
Thus, GCF of Fractions is 3/16756470.Finally, GCF of Fractions for 192/906, 567/810, 813/822 is 3/16756470.