GCD of 829, 192, 990, 722 Calculator

Given Input numbers are 829, 192, 990, 722

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (829, 192, 990, 722) = 1.

Given numbers are 829, 192, 990, 722

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 829, 192, 990, 722

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

Apply this formula for all numbers.

Step1:

LCM(829, 192) = 159168

GCD(829, 192) = ( 829 x 192 ) / 159168

= 829 / 192

= 829

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

So, Greatest Common Divisor of 829, 192, 990, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 695, 569, 334
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• GCD of 143, 200, 577, 180
• GCD of 757, 625, 698, 324
• GCD of 956, 411, 462, 834

Given numbers are 829, 192, 990, 722
The greatest common divisor of numbers 829, 192, 990, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 192, 990, 722 is 1.

1. What is the GCD of 829, 192, 990, 722?

GCD of given numbers 829, 192, 990, 722 is 1

2. How to calculate the greatest common divisor of 829, 192, 990, 722?

We can find the highest common divisor of 829, 192, 990, 722 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 829, 192, 990, 722 i.e 1.

3. How can I use the GCD of 829, 192, 990, 722Calculator?

Out the numbers 829, 192, 990, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.