GCD of 489, 768, 742, 538 Calculator

Given Input numbers are 489, 768, 742, 538

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 742 :

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

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (489, 768, 742, 538) = 1.

Given numbers are 489, 768, 742, 538

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 538 are 2 x 269

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

Given numbers are 489, 768, 742, 538

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

Apply this formula for all numbers.

Step1:

LCM(489, 768) = 125184

GCD(489, 768) = ( 489 x 768 ) / 125184

= 489 / 768

= 489

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 489, 768, 742, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 137, 474, 468
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• GCD of 997, 950, 785, 940

Given numbers are 489, 768, 742, 538
The greatest common divisor of numbers 489, 768, 742, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 768, 742, 538 is 1.

1. What is the GCD of 489, 768, 742, 538?

GCD of given numbers 489, 768, 742, 538 is 1

2. How to calculate the greatest common divisor of 489, 768, 742, 538?

We can find the highest common divisor of 489, 768, 742, 538 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, 768, 742, 538 i.e 1.

3. How can I use the GCD of 489, 768, 742, 538Calculator?

Out the numbers 489, 768, 742, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.