Online GCD Calculator is useful to find the GCD of 657, 792, 629, 400 quickly. Get the easiest ways to solve the greatest common divisor of 657, 792, 629, 400 i.e 1 in different methods as follows.
Given Input numbers are 657, 792, 629, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 629 :
The positive integer divisors of 629 that completely divides 629 are.
1, 17, 37, 629
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 (657, 792, 629, 400) = 1.
Given numbers are 657, 792, 629, 400
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 629 are 17 x 37
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 657, 792, 629, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 792) = 57816
GCD(657, 792) = ( 657 x 792 ) / 57816
= 657 / 792
= 657
Step2:
LCM(9, 629) = 5661
GCD(9, 629) = ( 9 x 629 ) / 5661
= 9 / 629
= 9
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 657, 792, 629, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 792, 629, 400
The greatest common divisor of numbers 657, 792, 629, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 792, 629, 400 is 1.
1. What is the GCD of 657, 792, 629, 400?
GCD of given numbers 657, 792, 629, 400 is 1
2. How to calculate the greatest common divisor of 657, 792, 629, 400?
We can find the highest common divisor of 657, 792, 629, 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 657, 792, 629, 400 i.e 1.
3. How can I use the GCD of 657, 792, 629, 400Calculator?
Out the numbers 657, 792, 629, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.