GCD of 489, 460, 840, 143 Calculator

Given Input numbers are 489, 460, 840, 143

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 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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

GCD of numbers is the greatest common divisor

So, the GCD (489, 460, 840, 143) = 1.

Given numbers are 489, 460, 840, 143

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 143 are 11 x 13

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

Given numbers are 489, 460, 840, 143

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

Apply this formula for all numbers.

Step1:

LCM(489, 460) = 224940

GCD(489, 460) = ( 489 x 460 ) / 224940

= 489 / 460

= 489

Step2:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

Step3:

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

= 1 / 143

= 1

So, Greatest Common Divisor of 489, 460, 840, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 640, 650, 647
• GCD of 613, 424, 860, 819
• GCD of 590, 941, 239, 278
• GCD of 447, 389, 884, 206
• GCD of 930, 232, 618, 345

Given numbers are 489, 460, 840, 143
The greatest common divisor of numbers 489, 460, 840, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 460, 840, 143 is 1.

1. What is the GCD of 489, 460, 840, 143?

GCD of given numbers 489, 460, 840, 143 is 1

2. How to calculate the greatest common divisor of 489, 460, 840, 143?

We can find the highest common divisor of 489, 460, 840, 143 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, 460, 840, 143 i.e 1.

3. How can I use the GCD of 489, 460, 840, 143Calculator?

Out the numbers 489, 460, 840, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.