Online GCD Calculator is useful to find the GCD of 187, 400, 696, 123 quickly. Get the easiest ways to solve the greatest common divisor of 187, 400, 696, 123 i.e 1 in different methods as follows.
Given Input numbers are 187, 400, 696, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
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 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (187, 400, 696, 123) = 1.
Given numbers are 187, 400, 696, 123
The list of prime factors of all numbers are
Prime factors of 187 are 11 x 17
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 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 187, 400, 696, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(187, 400) = 74800
GCD(187, 400) = ( 187 x 400 ) / 74800
= 187 / 400
= 187
Step2:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 187, 400, 696, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 187, 400, 696, 123
The greatest common divisor of numbers 187, 400, 696, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 187, 400, 696, 123 is 1.
1. What is the GCD of 187, 400, 696, 123?
GCD of given numbers 187, 400, 696, 123 is 1
2. How to calculate the greatest common divisor of 187, 400, 696, 123?
We can find the highest common divisor of 187, 400, 696, 123 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 187, 400, 696, 123 i.e 1.
3. How can I use the GCD of 187, 400, 696, 123Calculator?
Out the numbers 187, 400, 696, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.