GCD of 122, 250, 588, 512 Calculator

Given Input numbers are 122, 250, 588, 512

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 (122, 250, 588, 512) = 2.

Given numbers are 122, 250, 588, 512

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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 122, 250, 588, 512 is 2.

Given numbers are 122, 250, 588, 512

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

Apply this formula for all numbers.

Step1:

LCM(122, 250) = 15250

GCD(122, 250) = ( 122 x 250 ) / 15250

= 122 / 250

= 122

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 512) = 512

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

= 2 / 512

= 2

So, Greatest Common Divisor of 122, 250, 588, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 475, 487, 713
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• GCD of 159, 785, 224, 711
• GCD of 905, 434, 372, 580
• GCD of 194, 578, 387, 955

Given numbers are 122, 250, 588, 512
The greatest common divisor of numbers 122, 250, 588, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 250, 588, 512 is 2.

1. What is the GCD of 122, 250, 588, 512?

GCD of given numbers 122, 250, 588, 512 is 2

2. How to calculate the greatest common divisor of 122, 250, 588, 512?

We can find the highest common divisor of 122, 250, 588, 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 122, 250, 588, 512 i.e 2.

3. How can I use the GCD of 122, 250, 588, 512Calculator?

Out the numbers 122, 250, 588, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.