GCD of 489, 364, 457, 741 Calculator

Given Input numbers are 489, 364, 457, 741

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (489, 364, 457, 741) = 1.

Given numbers are 489, 364, 457, 741

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 457 are 457

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 489, 364, 457, 741

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

Apply this formula for all numbers.

Step1:

LCM(489, 364) = 177996

GCD(489, 364) = ( 489 x 364 ) / 177996

= 489 / 364

= 489

Step2:

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

= 1 / 457

= 1

Step3:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

So, Greatest Common Divisor of 489, 364, 457, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 427, 751, 434
• GCD of 241, 188, 118, 977
• GCD of 897, 868, 727, 977
• GCD of 862, 710, 541, 468
• GCD of 672, 772, 155, 656

Given numbers are 489, 364, 457, 741
The greatest common divisor of numbers 489, 364, 457, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 364, 457, 741 is 1.

1. What is the GCD of 489, 364, 457, 741?

GCD of given numbers 489, 364, 457, 741 is 1

2. How to calculate the greatest common divisor of 489, 364, 457, 741?

We can find the highest common divisor of 489, 364, 457, 741 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, 364, 457, 741 i.e 1.

3. How can I use the GCD of 489, 364, 457, 741Calculator?

Out the numbers 489, 364, 457, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.