GCD of 505, 172, 996, 629 Calculator

Given Input numbers are 505, 172, 996, 629

In the factoring method, we have to find the divisors of all numbers

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

GCD of numbers is the greatest common divisor

So, the GCD (505, 172, 996, 629) = 1.

Given numbers are 505, 172, 996, 629

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 172 are 2 x 2 x 43

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 629 are 17 x 37

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 505, 172, 996, 629

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(505, 172) = 86860

GCD(505, 172) = ( 505 x 172 ) / 86860

= 505 / 172

= 505

Step2:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

Step3:

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

= 1 / 629

= 1

So, Greatest Common Divisor of 505, 172, 996, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 230, 259, 720
• GCD of 203, 310, 312, 249
• GCD of 981, 772, 750, 420
• GCD of 673, 942, 527, 677
• GCD of 792, 413, 447, 523

Given numbers are 505, 172, 996, 629
The greatest common divisor of numbers 505, 172, 996, 629 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 172, 996, 629 is 1.

1. What is the GCD of 505, 172, 996, 629?

GCD of given numbers 505, 172, 996, 629 is 1

2. How to calculate the greatest common divisor of 505, 172, 996, 629?

We can find the highest common divisor of 505, 172, 996, 629 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 505, 172, 996, 629 i.e 1.

3. How can I use the GCD of 505, 172, 996, 629Calculator?

Out the numbers 505, 172, 996, 629 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.