GCD of 128, 832, 600, 289 Calculator

Given Input numbers are 128, 832, 600, 289

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

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (128, 832, 600, 289) = 1.

Given numbers are 128, 832, 600, 289

The list of prime factors of all numbers are

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 289 are 17 x 17

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

Given numbers are 128, 832, 600, 289

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

Apply this formula for all numbers.

Step1:

LCM(128, 832) = 1664

GCD(128, 832) = ( 128 x 832 ) / 1664

= 128 / 832

= 128

Step2:

LCM(64, 600) = 4800

GCD(64, 600) = ( 64 x 600 ) / 4800

= 64 / 600

= 64

Step3:

LCM(8, 289) = 2312

GCD(8, 289) = ( 8 x 289 ) / 2312

= 8 / 289

= 8

So, Greatest Common Divisor of 128, 832, 600, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 678, 201, 908
• GCD of 455, 560, 984, 460
• GCD of 611, 757, 595, 931
• GCD of 165, 213, 794, 867
• GCD of 706, 440, 484, 285

Given numbers are 128, 832, 600, 289
The greatest common divisor of numbers 128, 832, 600, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 832, 600, 289 is 1.

1. What is the GCD of 128, 832, 600, 289?

GCD of given numbers 128, 832, 600, 289 is 1

2. How to calculate the greatest common divisor of 128, 832, 600, 289?

We can find the highest common divisor of 128, 832, 600, 289 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 128, 832, 600, 289 i.e 1.

3. How can I use the GCD of 128, 832, 600, 289Calculator?

Out the numbers 128, 832, 600, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.