GCD of 172, 362, 428, 764 Calculator

Given Input numbers are 172, 362, 428, 764

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (172, 362, 428, 764) = 2.

Given numbers are 172, 362, 428, 764

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 362 are 2 x 181

Prime factors of 428 are 2 x 2 x 107

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 172, 362, 428, 764 is 2.

Given numbers are 172, 362, 428, 764

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

Apply this formula for all numbers.

Step1:

LCM(172, 362) = 31132

GCD(172, 362) = ( 172 x 362 ) / 31132

= 172 / 362

= 172

Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 172, 362, 428, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 227, 116, 911
• GCD of 943, 332, 963, 868
• GCD of 436, 357, 267, 304
• GCD of 377, 538, 613, 515
• GCD of 115, 976, 878, 265

Given numbers are 172, 362, 428, 764
The greatest common divisor of numbers 172, 362, 428, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 362, 428, 764 is 2.

1. What is the GCD of 172, 362, 428, 764?

GCD of given numbers 172, 362, 428, 764 is 2

2. How to calculate the greatest common divisor of 172, 362, 428, 764?

We can find the highest common divisor of 172, 362, 428, 764 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 172, 362, 428, 764 i.e 2.

3. How can I use the GCD of 172, 362, 428, 764Calculator?

Out the numbers 172, 362, 428, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.