GCD of 512, 118, 494, 724 Calculator

Given Input numbers are 512, 118, 494, 724

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (512, 118, 494, 724) = 2.

Given numbers are 512, 118, 494, 724

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 118 are 2 x 59

Prime factors of 494 are 2 x 13 x 19

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 512, 118, 494, 724 is 2.

Given numbers are 512, 118, 494, 724

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

Apply this formula for all numbers.

Step1:

LCM(512, 118) = 30208

GCD(512, 118) = ( 512 x 118 ) / 30208

= 512 / 118

= 512

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 512, 118, 494, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 847, 786, 399
• GCD of 659, 575, 530, 849
• GCD of 774, 425, 430, 440
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• GCD of 669, 314, 259, 581

Given numbers are 512, 118, 494, 724
The greatest common divisor of numbers 512, 118, 494, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 118, 494, 724 is 2.

1. What is the GCD of 512, 118, 494, 724?

GCD of given numbers 512, 118, 494, 724 is 2

2. How to calculate the greatest common divisor of 512, 118, 494, 724?

We can find the highest common divisor of 512, 118, 494, 724 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, 118, 494, 724 i.e 2.

3. How can I use the GCD of 512, 118, 494, 724Calculator?

Out the numbers 512, 118, 494, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.