Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8320/573,8064/5756
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 8320,8064
Greatest Common Factor of Numerators i.e. GCF of 8320,8064 is 128 .
LCM of Denominators means LCM of 573,5756 as per the given fractions.
LCM of 573,5756 is 3298188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8320,8064
2 | 8320, 8064 |
2 | 4160, 4032 |
2 | 2080, 2016 |
2 | 1040, 1008 |
2 | 520, 504 |
2 | 260, 252 |
2 | 130, 126 |
65, 63 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
Factors of 8320
List of positive integer factors of 8320 that divides 8320 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320
Factors of 8064
List of positive integer factors of 8064 that divides 8064 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Greatest Common Factor
We found the factors 8320,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 8320,8064 is 128.
Lets's calculate LCM of 573,5756
Given numbers has no common factors except 1. So, there LCM is their product i.e 3298188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/3298188
Therefore, the GCF of Fractions 8320/573,8064/5756 is 128/3298188
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 573,5756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,5756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,5756) x common factors =1 x 1 = 1
LCM(573,5756) = ( 573 × 5756 ) / 1
LCM(573,5756) = 3298188 / 1
LCM(573,5756) = 3298188
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 8320/573, 8064/5756?
Answer: GCF of Numerators as per given numbers 8320/573, 8064/5756 is
GCF of Numerators i.e. for 8320,8064 is 128
LCM of denominators i.e. for 573,5756 is 3298188.
Thus, GCF of Fractions is 128/3298188.Finally, GCF of Fractions for 8320/573, 8064/5756 is 128/3298188.