GCD of 512, 688, 752, 913 Calculator

Given Input numbers are 512, 688, 752, 913

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

GCD of numbers is the greatest common divisor

So, the GCD (512, 688, 752, 913) = 1.

Given numbers are 512, 688, 752, 913

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 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 913 are 11 x 83

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

Given numbers are 512, 688, 752, 913

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

Apply this formula for all numbers.

Step1:

LCM(512, 688) = 22016

GCD(512, 688) = ( 512 x 688 ) / 22016

= 512 / 688

= 512

Step2:

LCM(16, 752) = 752

GCD(16, 752) = ( 16 x 752 ) / 752

= 16 / 752

= 16

Step3:

LCM(16, 913) = 14608

GCD(16, 913) = ( 16 x 913 ) / 14608

= 16 / 913

= 16

So, Greatest Common Divisor of 512, 688, 752, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 535, 299, 967
• GCD of 828, 707, 173, 211
• GCD of 361, 524, 520, 689
• GCD of 141, 550, 633, 734
• GCD of 740, 384, 703, 819

Given numbers are 512, 688, 752, 913
The greatest common divisor of numbers 512, 688, 752, 913 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 688, 752, 913 is 1.

1. What is the GCD of 512, 688, 752, 913?

GCD of given numbers 512, 688, 752, 913 is 1

2. How to calculate the greatest common divisor of 512, 688, 752, 913?

We can find the highest common divisor of 512, 688, 752, 913 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, 688, 752, 913 i.e 1.

3. How can I use the GCD of 512, 688, 752, 913Calculator?

Out the numbers 512, 688, 752, 913 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.