GCD of 489, 319, 160, 678 Calculator

Given Input numbers are 489, 319, 160, 678

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 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (489, 319, 160, 678) = 1.

Given numbers are 489, 319, 160, 678

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 319 are 11 x 29

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 489, 319, 160, 678

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

Apply this formula for all numbers.

Step1:

LCM(489, 319) = 155991

GCD(489, 319) = ( 489 x 319 ) / 155991

= 489 / 319

= 489

Step2:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 489, 319, 160, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 462, 142, 960
• GCD of 760, 477, 958, 665
• GCD of 446, 556, 719, 580
• GCD of 725, 710, 333, 524
• GCD of 968, 575, 174, 697

Given numbers are 489, 319, 160, 678
The greatest common divisor of numbers 489, 319, 160, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 319, 160, 678 is 1.

1. What is the GCD of 489, 319, 160, 678?

GCD of given numbers 489, 319, 160, 678 is 1

2. How to calculate the greatest common divisor of 489, 319, 160, 678?

We can find the highest common divisor of 489, 319, 160, 678 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, 319, 160, 678 i.e 1.

3. How can I use the GCD of 489, 319, 160, 678Calculator?

Out the numbers 489, 319, 160, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.