Online GCD Calculator is useful to find the GCD of 408, 920, 821, 369 quickly. Get the easiest ways to solve the greatest common divisor of 408, 920, 821, 369 i.e 1 in different methods as follows.
Given Input numbers are 408, 920, 821, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (408, 920, 821, 369) = 1.
Given numbers are 408, 920, 821, 369
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 821 are 821
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 408, 920, 821, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 920) = 46920
GCD(408, 920) = ( 408 x 920 ) / 46920
= 408 / 920
= 408
Step2:
LCM(8, 821) = 6568
GCD(8, 821) = ( 8 x 821 ) / 6568
= 8 / 821
= 8
Step3:
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
= 1 / 369
= 1
So, Greatest Common Divisor of 408, 920, 821, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 920, 821, 369
The greatest common divisor of numbers 408, 920, 821, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 920, 821, 369 is 1.
1. What is the GCD of 408, 920, 821, 369?
GCD of given numbers 408, 920, 821, 369 is 1
2. How to calculate the greatest common divisor of 408, 920, 821, 369?
We can find the highest common divisor of 408, 920, 821, 369 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 408, 920, 821, 369 i.e 1.
3. How can I use the GCD of 408, 920, 821, 369Calculator?
Out the numbers 408, 920, 821, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.