GCD of 489, 709, 460, 434 Calculator

Given Input numbers are 489, 709, 460, 434

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 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (489, 709, 460, 434) = 1.

Given numbers are 489, 709, 460, 434

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 709 are 709

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 434 are 2 x 7 x 31

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

Given numbers are 489, 709, 460, 434

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

Apply this formula for all numbers.

Step1:

LCM(489, 709) = 346701

GCD(489, 709) = ( 489 x 709 ) / 346701

= 489 / 709

= 489

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1

So, Greatest Common Divisor of 489, 709, 460, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 300, 156, 195
• GCD of 504, 216, 639, 329
• GCD of 508, 973, 502, 266
• GCD of 820, 878, 752, 234
• GCD of 113, 958, 262, 661

Given numbers are 489, 709, 460, 434
The greatest common divisor of numbers 489, 709, 460, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 709, 460, 434 is 1.

1. What is the GCD of 489, 709, 460, 434?

GCD of given numbers 489, 709, 460, 434 is 1

2. How to calculate the greatest common divisor of 489, 709, 460, 434?

We can find the highest common divisor of 489, 709, 460, 434 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, 709, 460, 434 i.e 1.

3. How can I use the GCD of 489, 709, 460, 434Calculator?

Out the numbers 489, 709, 460, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.