Online GCD Calculator is useful to find the GCD of 595, 537, 400, 100 quickly. Get the easiest ways to solve the greatest common divisor of 595, 537, 400, 100 i.e 1 in different methods as follows.
Given Input numbers are 595, 537, 400, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (595, 537, 400, 100) = 1.
Given numbers are 595, 537, 400, 100
The list of prime factors of all numbers are
Prime factors of 595 are 5 x 7 x 17
Prime factors of 537 are 3 x 179
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 595, 537, 400, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(595, 537) = 319515
GCD(595, 537) = ( 595 x 537 ) / 319515
= 595 / 537
= 595
Step2:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 595, 537, 400, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 595, 537, 400, 100
The greatest common divisor of numbers 595, 537, 400, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 595, 537, 400, 100 is 1.
1. What is the GCD of 595, 537, 400, 100?
GCD of given numbers 595, 537, 400, 100 is 1
2. How to calculate the greatest common divisor of 595, 537, 400, 100?
We can find the highest common divisor of 595, 537, 400, 100 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 595, 537, 400, 100 i.e 1.
3. How can I use the GCD of 595, 537, 400, 100Calculator?
Out the numbers 595, 537, 400, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.