Online GCD Calculator is useful to find the GCD of 429, 824, 369, 400 quickly. Get the easiest ways to solve the greatest common divisor of 429, 824, 369, 400 i.e 1 in different methods as follows.
Given Input numbers are 429, 824, 369, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (429, 824, 369, 400) = 1.
Given numbers are 429, 824, 369, 400
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 369 are 3 x 3 x 41
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 429, 824, 369, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 824) = 353496
GCD(429, 824) = ( 429 x 824 ) / 353496
= 429 / 824
= 429
Step2:
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
= 1 / 369
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 429, 824, 369, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 824, 369, 400
The greatest common divisor of numbers 429, 824, 369, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 824, 369, 400 is 1.
1. What is the GCD of 429, 824, 369, 400?
GCD of given numbers 429, 824, 369, 400 is 1
2. How to calculate the greatest common divisor of 429, 824, 369, 400?
We can find the highest common divisor of 429, 824, 369, 400 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 429, 824, 369, 400 i.e 1.
3. How can I use the GCD of 429, 824, 369, 400Calculator?
Out the numbers 429, 824, 369, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.