Online GCD Calculator is useful to find the GCD of 359, 400, 696, 820 quickly. Get the easiest ways to solve the greatest common divisor of 359, 400, 696, 820 i.e 1 in different methods as follows.
Given Input numbers are 359, 400, 696, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
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
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (359, 400, 696, 820) = 1.
Given numbers are 359, 400, 696, 820
The list of prime factors of all numbers are
Prime factors of 359 are 359
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 359, 400, 696, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(359, 400) = 143600
GCD(359, 400) = ( 359 x 400 ) / 143600
= 359 / 400
= 359
Step2:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 359, 400, 696, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 359, 400, 696, 820
The greatest common divisor of numbers 359, 400, 696, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 359, 400, 696, 820 is 1.
1. What is the GCD of 359, 400, 696, 820?
GCD of given numbers 359, 400, 696, 820 is 1
2. How to calculate the greatest common divisor of 359, 400, 696, 820?
We can find the highest common divisor of 359, 400, 696, 820 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 359, 400, 696, 820 i.e 1.
3. How can I use the GCD of 359, 400, 696, 820Calculator?
Out the numbers 359, 400, 696, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.