GCD of 489, 748, 622, 431 Calculator

Given Input numbers are 489, 748, 622, 431

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 431 :

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

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (489, 748, 622, 431) = 1.

Given numbers are 489, 748, 622, 431

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 622 are 2 x 311

Prime factors of 431 are 431

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

Given numbers are 489, 748, 622, 431

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

Apply this formula for all numbers.

Step1:

LCM(489, 748) = 365772

GCD(489, 748) = ( 489 x 748 ) / 365772

= 489 / 748

= 489

Step2:

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

= 1 / 622

= 1

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 489, 748, 622, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 581, 296, 901
• GCD of 717, 682, 679, 156
• GCD of 723, 495, 917, 893
• GCD of 960, 279, 969, 599
• GCD of 619, 283, 398, 476

Given numbers are 489, 748, 622, 431
The greatest common divisor of numbers 489, 748, 622, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 748, 622, 431 is 1.

1. What is the GCD of 489, 748, 622, 431?

GCD of given numbers 489, 748, 622, 431 is 1

2. How to calculate the greatest common divisor of 489, 748, 622, 431?

We can find the highest common divisor of 489, 748, 622, 431 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 489, 748, 622, 431 i.e 1.

3. How can I use the GCD of 489, 748, 622, 431Calculator?

Out the numbers 489, 748, 622, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.