GCD of 724, 431, 123, 492 Calculator

Given Input numbers are 724, 431, 123, 492

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

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

GCD of numbers is the greatest common divisor

So, the GCD (724, 431, 123, 492) = 1.

Given numbers are 724, 431, 123, 492

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 431 are 431

Prime factors of 123 are 3 x 41

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

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

Given numbers are 724, 431, 123, 492

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

Apply this formula for all numbers.

Step1:

LCM(724, 431) = 312044

GCD(724, 431) = ( 724 x 431 ) / 312044

= 724 / 431

= 724

Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 724, 431, 123, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 134, 934, 460
• GCD of 224, 648, 752, 904
• GCD of 848, 728, 452, 831
• GCD of 373, 543, 652, 399
• GCD of 321, 376, 504, 233

Given numbers are 724, 431, 123, 492
The greatest common divisor of numbers 724, 431, 123, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 431, 123, 492 is 1.

1. What is the GCD of 724, 431, 123, 492?

GCD of given numbers 724, 431, 123, 492 is 1

2. How to calculate the greatest common divisor of 724, 431, 123, 492?

We can find the highest common divisor of 724, 431, 123, 492 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 724, 431, 123, 492 i.e 1.

3. How can I use the GCD of 724, 431, 123, 492Calculator?

Out the numbers 724, 431, 123, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.