Online GCD Calculator is useful to find the GCD of 748, 668, 585, 600 quickly. Get the easiest ways to solve the greatest common divisor of 748, 668, 585, 600 i.e 1 in different methods as follows.
Given Input numbers are 748, 668, 585, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (748, 668, 585, 600) = 1.
Given numbers are 748, 668, 585, 600
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 668 are 2 x 2 x 167
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 668, 585, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 668) = 124916
GCD(748, 668) = ( 748 x 668 ) / 124916
= 748 / 668
= 748
Step2:
LCM(4, 585) = 2340
GCD(4, 585) = ( 4 x 585 ) / 2340
= 4 / 585
= 4
Step3:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
So, Greatest Common Divisor of 748, 668, 585, 600 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 668, 585, 600
The greatest common divisor of numbers 748, 668, 585, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 668, 585, 600 is 1.
1. What is the GCD of 748, 668, 585, 600?
GCD of given numbers 748, 668, 585, 600 is 1
2. How to calculate the greatest common divisor of 748, 668, 585, 600?
We can find the highest common divisor of 748, 668, 585, 600 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 748, 668, 585, 600 i.e 1.
3. How can I use the GCD of 748, 668, 585, 600Calculator?
Out the numbers 748, 668, 585, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.