GCD of 122, 320, 752, 188 Calculator

Given Input numbers are 122, 320, 752, 188

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (122, 320, 752, 188) = 2.

Given numbers are 122, 320, 752, 188

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 122, 320, 752, 188 is 2.

Given numbers are 122, 320, 752, 188

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

Apply this formula for all numbers.

Step1:

LCM(122, 320) = 19520

GCD(122, 320) = ( 122 x 320 ) / 19520

= 122 / 320

= 122

Step2:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 122, 320, 752, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 559, 514, 440
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Given numbers are 122, 320, 752, 188
The greatest common divisor of numbers 122, 320, 752, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 320, 752, 188 is 2.

1. What is the GCD of 122, 320, 752, 188?

GCD of given numbers 122, 320, 752, 188 is 2

2. How to calculate the greatest common divisor of 122, 320, 752, 188?

We can find the highest common divisor of 122, 320, 752, 188 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, 320, 752, 188 i.e 2.

3. How can I use the GCD of 122, 320, 752, 188Calculator?

Out the numbers 122, 320, 752, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.