GCD of 512, 160, 686 Calculator

Given Input numbers are 512, 160, 686

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (512, 160, 686) = 2.

Given numbers are 512, 160, 686

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 512, 160, 686 is 2.

Given numbers are 512, 160, 686

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

Apply this formula for all numbers.

Step1:

LCM(512, 160) = 2560

GCD(512, 160) = ( 512 x 160 ) / 2560

= 512 / 160

= 512

Step2:

LCM(32, 686) = 10976

GCD(32, 686) = ( 32 x 686 ) / 10976

= 32 / 686

= 32

So, Greatest Common Divisor of 512, 160, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 589, 151
• GCD of 307, 402, 727
• GCD of 753, 533, 317
• GCD of 651, 845, 583
• GCD of 137, 879, 988

Given numbers are 512, 160, 686
The greatest common divisor of numbers 512, 160, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 160, 686 is 2.

1. What is the GCD of 512, 160, 686?

GCD of given numbers 512, 160, 686 is 2

2. How to calculate the greatest common divisor of 512, 160, 686?

We can find the highest common divisor of 512, 160, 686 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 512, 160, 686 i.e 2.

3. How can I use the GCD of 512, 160, 686Calculator?

Out the numbers 512, 160, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.