GCD of 172, 628, 202, 289 Calculator

Given Input numbers are 172, 628, 202, 289

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (172, 628, 202, 289) = 1.

Given numbers are 172, 628, 202, 289

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 628 are 2 x 2 x 157

Prime factors of 202 are 2 x 101

Prime factors of 289 are 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 172, 628, 202, 289

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

Apply this formula for all numbers.

Step1:

LCM(172, 628) = 27004

GCD(172, 628) = ( 172 x 628 ) / 27004

= 172 / 628

= 172

Step2:

LCM(4, 202) = 404

GCD(4, 202) = ( 4 x 202 ) / 404

= 4 / 202

= 4

Step3:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

So, Greatest Common Divisor of 172, 628, 202, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 248, 413, 386
• GCD of 588, 622, 445, 347
• GCD of 564, 378, 503, 417
• GCD of 461, 973, 260, 552
• GCD of 113, 678, 818, 137

Given numbers are 172, 628, 202, 289
The greatest common divisor of numbers 172, 628, 202, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 628, 202, 289 is 1.

1. What is the GCD of 172, 628, 202, 289?

GCD of given numbers 172, 628, 202, 289 is 1

2. How to calculate the greatest common divisor of 172, 628, 202, 289?

We can find the highest common divisor of 172, 628, 202, 289 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, 628, 202, 289 i.e 1.

3. How can I use the GCD of 172, 628, 202, 289Calculator?

Out the numbers 172, 628, 202, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.