GCD of 512, 536, 460, 676 Calculator

Given Input numbers are 512, 536, 460, 676

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 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (512, 536, 460, 676) = 4.

Given numbers are 512, 536, 460, 676

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 536 are 2 x 2 x 2 x 67

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

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2²

Therefore, GCD of 512, 536, 460, 676 is 4.

Given numbers are 512, 536, 460, 676

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

Apply this formula for all numbers.

Step1:

LCM(512, 536) = 34304

GCD(512, 536) = ( 512 x 536 ) / 34304

= 512 / 536

= 512

Step2:

LCM(8, 460) = 920

GCD(8, 460) = ( 8 x 460 ) / 920

= 8 / 460

= 8

Step3:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

So, Greatest Common Divisor of 512, 536, 460, 676 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 256, 638, 232
• GCD of 558, 653, 968, 146
• GCD of 810, 857, 649, 265
• GCD of 655, 740, 196, 418
• GCD of 673, 767, 484, 204

Given numbers are 512, 536, 460, 676
The greatest common divisor of numbers 512, 536, 460, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 536, 460, 676 is 4.

1. What is the GCD of 512, 536, 460, 676?

GCD of given numbers 512, 536, 460, 676 is 4

2. How to calculate the greatest common divisor of 512, 536, 460, 676?

We can find the highest common divisor of 512, 536, 460, 676 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, 536, 460, 676 i.e 4.

3. How can I use the GCD of 512, 536, 460, 676Calculator?

Out the numbers 512, 536, 460, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.