Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/505,8128/523
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 720,8128
Greatest Common Factor of Numerators i.e. GCF of 720,8128 is 16 .
LCM of Denominators means LCM of 505,523 as per the given fractions.
LCM of 505,523 is 264115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 720,8128
2 | 720, 8128 |
2 | 360, 4064 |
2 | 180, 2032 |
2 | 90, 1016 |
45, 508 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 8128
List of positive integer factors of 8128 that divides 8128 without a remainder.
1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128
Greatest Common Factor
We found the factors 720,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 720,8128 is 16.
Lets's calculate LCM of 505,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 264115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/264115
Therefore, the GCF of Fractions 720/505,8128/523 is 16/264115
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 505,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,523) x common factors =1 x 1 = 1
LCM(505,523) = ( 505 × 523 ) / 1
LCM(505,523) = 264115 / 1
LCM(505,523) = 264115
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 720/505, 8128/523?
Answer: GCF of Numerators as per given numbers 720/505, 8128/523 is
GCF of Numerators i.e. for 720,8128 is 16
LCM of denominators i.e. for 505,523 is 264115.
Thus, GCF of Fractions is 16/264115.Finally, GCF of Fractions for 720/505, 8128/523 is 16/264115.