GCD of 829, 492, 72, 192 Calculator

Given Input numbers are 829, 492, 72, 192

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

GCD of numbers is the greatest common divisor

So, the GCD (829, 492, 72, 192) = 1.

Given numbers are 829, 492, 72, 192

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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

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

Given numbers are 829, 492, 72, 192

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

Apply this formula for all numbers.

Step1:

LCM(829, 492) = 407868

GCD(829, 492) = ( 829 x 492 ) / 407868

= 829 / 492

= 829

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

= 1 / 192

= 1

So, Greatest Common Divisor of 829, 492, 72, 192 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 701, 77, 457
• GCD of 745, 425, 79, 559
• GCD of 210, 430, 61, 116
• GCD of 136, 847, 11, 718
• GCD of 595, 618, 48, 975

Given numbers are 829, 492, 72, 192
The greatest common divisor of numbers 829, 492, 72, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 492, 72, 192 is 1.

1. What is the GCD of 829, 492, 72, 192?

GCD of given numbers 829, 492, 72, 192 is 1

2. How to calculate the greatest common divisor of 829, 492, 72, 192?

We can find the highest common divisor of 829, 492, 72, 192 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, 492, 72, 192 i.e 1.

3. How can I use the GCD of 829, 492, 72, 192Calculator?

Out the numbers 829, 492, 72, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.