GCD of 992, 960, 505, 402 Calculator

Given Input numbers are 992, 960, 505, 402

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 505 :

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

1, 5, 101, 505

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (992, 960, 505, 402) = 1.

Given numbers are 992, 960, 505, 402

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 505 are 5 x 101

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 992, 960, 505, 402

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

Apply this formula for all numbers.

Step1:

LCM(992, 960) = 29760

GCD(992, 960) = ( 992 x 960 ) / 29760

= 992 / 960

= 992

Step2:

LCM(32, 505) = 16160

GCD(32, 505) = ( 32 x 505 ) / 16160

= 32 / 505

= 32

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 992, 960, 505, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 883, 352, 982
• GCD of 470, 562, 216, 489
• GCD of 455, 193, 592, 909
• GCD of 186, 171, 501, 986
• GCD of 754, 805, 182, 294

Given numbers are 992, 960, 505, 402
The greatest common divisor of numbers 992, 960, 505, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 960, 505, 402 is 1.

1. What is the GCD of 992, 960, 505, 402?

GCD of given numbers 992, 960, 505, 402 is 1

2. How to calculate the greatest common divisor of 992, 960, 505, 402?

We can find the highest common divisor of 992, 960, 505, 402 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 992, 960, 505, 402 i.e 1.

3. How can I use the GCD of 992, 960, 505, 402Calculator?

Out the numbers 992, 960, 505, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.