GCD of 996, 742, 817, 460 Calculator

Given Input numbers are 996, 742, 817, 460

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

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (996, 742, 817, 460) = 1.

Given numbers are 996, 742, 817, 460

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 817 are 19 x 43

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 996, 742, 817, 460

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

Apply this formula for all numbers.

Step1:

LCM(996, 742) = 369516

GCD(996, 742) = ( 996 x 742 ) / 369516

= 996 / 742

= 996

Step2:

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

= 2 / 817

= 2

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 996, 742, 817, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 339, 568, 523
• GCD of 273, 631, 800, 743
• GCD of 770, 114, 973, 357
• GCD of 143, 966, 837, 115
• GCD of 474, 243, 502, 441

Given numbers are 996, 742, 817, 460
The greatest common divisor of numbers 996, 742, 817, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 742, 817, 460 is 1.

1. What is the GCD of 996, 742, 817, 460?

GCD of given numbers 996, 742, 817, 460 is 1

2. How to calculate the greatest common divisor of 996, 742, 817, 460?

We can find the highest common divisor of 996, 742, 817, 460 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 996, 742, 817, 460 i.e 1.

3. How can I use the GCD of 996, 742, 817, 460Calculator?

Out the numbers 996, 742, 817, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.