Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1060/433,1464/8128
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 1060,1464
Greatest Common Factor of Numerators i.e. GCF of 1060,1464 is 4 .
LCM of Denominators means LCM of 433,8128 as per the given fractions.
LCM of 433,8128 is 3519424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1060,1464
2 | 1060, 1464 |
2 | 530, 732 |
265, 366 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1060
List of positive integer factors of 1060 that divides 1060 without a remainder.
1,2,4,5,10,20,53,106,212,265,530,1060
Factors of 1464
List of positive integer factors of 1464 that divides 1464 without a remainder.
1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464
Greatest Common Factor
We found the factors 1060,1464 . The biggest common factor number is the GCF number.
So the greatest common factor 1060,1464 is 4.
Lets's calculate LCM of 433,8128
Given numbers has no common factors except 1. So, there LCM is their product i.e 3519424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3519424
Therefore, the GCF of Fractions 1060/433,1464/8128 is 4/3519424
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 433,8128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,8128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,8128) x common factors =1 x 1 = 1
LCM(433,8128) = ( 433 × 8128 ) / 1
LCM(433,8128) = 3519424 / 1
LCM(433,8128) = 3519424
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 1060/433, 1464/8128?
Answer: GCF of Numerators as per given numbers 1060/433, 1464/8128 is
GCF of Numerators i.e. for 1060,1464 is 4
LCM of denominators i.e. for 433,8128 is 3519424.
Thus, GCF of Fractions is 4/3519424.Finally, GCF of Fractions for 1060/433, 1464/8128 is 4/3519424.