GCD of 784, 744, 508, 590 Calculator

Given Input numbers are 784, 744, 508, 590

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (784, 744, 508, 590) = 2.

Given numbers are 784, 744, 508, 590

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 508 are 2 x 2 x 127

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹

Therefore, GCD of 784, 744, 508, 590 is 2.

Given numbers are 784, 744, 508, 590

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

Apply this formula for all numbers.

Step1:

LCM(784, 744) = 72912

GCD(784, 744) = ( 784 x 744 ) / 72912

= 784 / 744

= 784

Step2:

LCM(8, 508) = 1016

GCD(8, 508) = ( 8 x 508 ) / 1016

= 8 / 508

= 8

Step3:

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

= 4 / 590

= 4

So, Greatest Common Divisor of 784, 744, 508, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 364, 590, 518
• GCD of 983, 799, 133, 823
• GCD of 778, 160, 345, 782
• GCD of 353, 667, 612, 764
• GCD of 638, 717, 196, 824

Given numbers are 784, 744, 508, 590
The greatest common divisor of numbers 784, 744, 508, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 744, 508, 590 is 2.

1. What is the GCD of 784, 744, 508, 590?

GCD of given numbers 784, 744, 508, 590 is 2

2. How to calculate the greatest common divisor of 784, 744, 508, 590?

We can find the highest common divisor of 784, 744, 508, 590 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 784, 744, 508, 590 i.e 2.

3. How can I use the GCD of 784, 744, 508, 590Calculator?

Out the numbers 784, 744, 508, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.