GCD of 405, 705, 996, 958 Calculator

Given Input numbers are 405, 705, 996, 958

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

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (405, 705, 996, 958) = 1.

Given numbers are 405, 705, 996, 958

The list of prime factors of all numbers are

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 705 are 3 x 5 x 47

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

Prime factors of 958 are 2 x 479

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

Given numbers are 405, 705, 996, 958

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

Apply this formula for all numbers.

Step1:

LCM(405, 705) = 19035

GCD(405, 705) = ( 405 x 705 ) / 19035

= 405 / 705

= 405

Step2:

LCM(15, 996) = 4980

GCD(15, 996) = ( 15 x 996 ) / 4980

= 15 / 996

= 15

Step3:

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

= 3 / 958

= 3

So, Greatest Common Divisor of 405, 705, 996, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 854, 373, 880
• GCD of 394, 359, 285, 694
• GCD of 921, 481, 476, 290
• GCD of 921, 335, 500, 755
• GCD of 371, 389, 194, 749

Given numbers are 405, 705, 996, 958
The greatest common divisor of numbers 405, 705, 996, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 705, 996, 958 is 1.

1. What is the GCD of 405, 705, 996, 958?

GCD of given numbers 405, 705, 996, 958 is 1

2. How to calculate the greatest common divisor of 405, 705, 996, 958?

We can find the highest common divisor of 405, 705, 996, 958 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 405, 705, 996, 958 i.e 1.

3. How can I use the GCD of 405, 705, 996, 958Calculator?

Out the numbers 405, 705, 996, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.