GCD of 734, 368, 130, 512 Calculator

Given Input numbers are 734, 368, 130, 512

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 512 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (734, 368, 130, 512) = 2.

Given numbers are 734, 368, 130, 512

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 130 are 2 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 734, 368, 130, 512 is 2.

Given numbers are 734, 368, 130, 512

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

Apply this formula for all numbers.

Step1:

LCM(734, 368) = 135056

GCD(734, 368) = ( 734 x 368 ) / 135056

= 734 / 368

= 734

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

Step3:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

So, Greatest Common Divisor of 734, 368, 130, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 460, 998, 752
• GCD of 820, 456, 872, 857
• GCD of 379, 281, 806, 198
• GCD of 900, 794, 307, 721
• GCD of 586, 595, 566, 650

Given numbers are 734, 368, 130, 512
The greatest common divisor of numbers 734, 368, 130, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 368, 130, 512 is 2.

1. What is the GCD of 734, 368, 130, 512?

GCD of given numbers 734, 368, 130, 512 is 2

2. How to calculate the greatest common divisor of 734, 368, 130, 512?

We can find the highest common divisor of 734, 368, 130, 512 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 734, 368, 130, 512 i.e 2.

3. How can I use the GCD of 734, 368, 130, 512Calculator?

Out the numbers 734, 368, 130, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.