Online GCD Calculator is useful to find the GCD of 600, 808, 741, 249 quickly. Get the easiest ways to solve the greatest common divisor of 600, 808, 741, 249 i.e 1 in different methods as follows.
Given Input numbers are 600, 808, 741, 249
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (600, 808, 741, 249) = 1.
Given numbers are 600, 808, 741, 249
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 741 are 3 x 13 x 19
Prime factors of 249 are 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 808, 741, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 808) = 60600
GCD(600, 808) = ( 600 x 808 ) / 60600
= 600 / 808
= 600
Step2:
LCM(8, 741) = 5928
GCD(8, 741) = ( 8 x 741 ) / 5928
= 8 / 741
= 8
Step3:
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
= 1 / 249
= 1
So, Greatest Common Divisor of 600, 808, 741, 249 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 808, 741, 249
The greatest common divisor of numbers 600, 808, 741, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 808, 741, 249 is 1.
1. What is the GCD of 600, 808, 741, 249?
GCD of given numbers 600, 808, 741, 249 is 1
2. How to calculate the greatest common divisor of 600, 808, 741, 249?
We can find the highest common divisor of 600, 808, 741, 249 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 600, 808, 741, 249 i.e 1.
3. How can I use the GCD of 600, 808, 741, 249Calculator?
Out the numbers 600, 808, 741, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.