GCD of 460, 508, 489, 156 Calculator

Given Input numbers are 460, 508, 489, 156

In the factoring method, we have to find the divisors of all numbers

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (460, 508, 489, 156) = 1.

Given numbers are 460, 508, 489, 156

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 489 are 3 x 163

Prime factors of 156 are 2 x 2 x 3 x 13

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

Given numbers are 460, 508, 489, 156

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

Apply this formula for all numbers.

Step1:

LCM(460, 508) = 58420

GCD(460, 508) = ( 460 x 508 ) / 58420

= 460 / 508

= 460

Step2:

LCM(4, 489) = 1956

GCD(4, 489) = ( 4 x 489 ) / 1956

= 4 / 489

= 4

Step3:

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

= 1 / 156

= 1

So, Greatest Common Divisor of 460, 508, 489, 156 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 745, 278, 322
• GCD of 100, 264, 382, 776
• GCD of 870, 247, 313, 623
• GCD of 338, 942, 975, 546
• GCD of 394, 753, 629, 152

Given numbers are 460, 508, 489, 156
The greatest common divisor of numbers 460, 508, 489, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 508, 489, 156 is 1.

1. What is the GCD of 460, 508, 489, 156?

GCD of given numbers 460, 508, 489, 156 is 1

2. How to calculate the greatest common divisor of 460, 508, 489, 156?

We can find the highest common divisor of 460, 508, 489, 156 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 460, 508, 489, 156 i.e 1.

3. How can I use the GCD of 460, 508, 489, 156Calculator?

Out the numbers 460, 508, 489, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.