GCD of 512, 100, 410, 704 Calculator

Given Input numbers are 512, 100, 410, 704

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (512, 100, 410, 704) = 2.

Given numbers are 512, 100, 410, 704

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 100 are 2 x 2 x 5 x 5

Prime factors of 410 are 2 x 5 x 41

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 512, 100, 410, 704 is 2.

Given numbers are 512, 100, 410, 704

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

Apply this formula for all numbers.

Step1:

LCM(512, 100) = 12800

GCD(512, 100) = ( 512 x 100 ) / 12800

= 512 / 100

= 512

Step2:

LCM(4, 410) = 820

GCD(4, 410) = ( 4 x 410 ) / 820

= 4 / 410

= 4

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 512, 100, 410, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 546, 954, 821
• GCD of 813, 632, 780, 335
• GCD of 566, 461, 876, 803
• GCD of 580, 583, 705, 722
• GCD of 692, 850, 184, 985

Given numbers are 512, 100, 410, 704
The greatest common divisor of numbers 512, 100, 410, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 100, 410, 704 is 2.

1. What is the GCD of 512, 100, 410, 704?

GCD of given numbers 512, 100, 410, 704 is 2

2. How to calculate the greatest common divisor of 512, 100, 410, 704?

We can find the highest common divisor of 512, 100, 410, 704 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, 100, 410, 704 i.e 2.

3. How can I use the GCD of 512, 100, 410, 704Calculator?

Out the numbers 512, 100, 410, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.