GCD of 590, 462, 658, 940 Calculator

Given Input numbers are 590, 462, 658, 940

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

Divisors of 590 :

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

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (590, 462, 658, 940) = 2.

Given numbers are 590, 462, 658, 940

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 658 are 2 x 7 x 47

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 590, 462, 658, 940 is 2.

Given numbers are 590, 462, 658, 940

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

Apply this formula for all numbers.

Step1:

LCM(590, 462) = 136290

GCD(590, 462) = ( 590 x 462 ) / 136290

= 590 / 462

= 590

Step2:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 590, 462, 658, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 630, 196, 963
• GCD of 928, 647, 298, 458
• GCD of 841, 889, 783, 244
• GCD of 371, 410, 583, 388
• GCD of 753, 119, 827, 278

Given numbers are 590, 462, 658, 940
The greatest common divisor of numbers 590, 462, 658, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 462, 658, 940 is 2.

1. What is the GCD of 590, 462, 658, 940?

GCD of given numbers 590, 462, 658, 940 is 2

2. How to calculate the greatest common divisor of 590, 462, 658, 940?

We can find the highest common divisor of 590, 462, 658, 940 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 590, 462, 658, 940 i.e 2.

3. How can I use the GCD of 590, 462, 658, 940Calculator?

Out the numbers 590, 462, 658, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.