Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/32,640/68,830/906
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 184,640,830
Greatest Common Factor of Numerators i.e. GCF of 184,640,830 is 2 .
LCM of Denominators means LCM of 32,68,906 as per the given fractions.
LCM of 32,68,906 is 246432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 184,640,830
2 | 184, 640, 830 |
92, 320, 415 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 184,640,830 . The biggest common factor number is the GCF number.
So the greatest common factor 184,640,830 is 2.
Lets's calculate LCM of 32,68,906
2 | 32, 68, 906 |
2 | 16, 34, 453 |
8, 17, 453 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 17 x 453 = 246432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246432
Therefore, the GCF of Fractions 184/32,640/68,830/906 is 2/246432
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 32,68,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,68,906) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(32,68,906) x common factors =2 x 4 = 8
LCM(32,68,906) = ( 32 × 68 × 906 ) / 8
LCM(32,68,906) = 1971456 / 8
LCM(32,68,906) = 246432
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 184/32, 640/68, 830/906?
Answer: GCF of Numerators as per given numbers 184/32, 640/68, 830/906 is
GCF of Numerators i.e. for 184,640,830 is 2
LCM of denominators i.e. for 32,68,906 is 246432.
Thus, GCF of Fractions is 2/246432.Finally, GCF of Fractions for 184/32, 640/68, 830/906 is 2/246432.