GCD of 172, 356, 268, 290 Calculator

Given Input numbers are 172, 356, 268, 290

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (172, 356, 268, 290) = 2.

Given numbers are 172, 356, 268, 290

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 356 are 2 x 2 x 89

Prime factors of 268 are 2 x 2 x 67

Prime factors of 290 are 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 172, 356, 268, 290 is 2.

Given numbers are 172, 356, 268, 290

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

Apply this formula for all numbers.

Step1:

LCM(172, 356) = 15308

GCD(172, 356) = ( 172 x 356 ) / 15308

= 172 / 356

= 172

Step2:

LCM(4, 268) = 268

GCD(4, 268) = ( 4 x 268 ) / 268

= 4 / 268

= 4

Step3:

LCM(4, 290) = 580

GCD(4, 290) = ( 4 x 290 ) / 580

= 4 / 290

= 4

So, Greatest Common Divisor of 172, 356, 268, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 800, 186, 842
• GCD of 201, 979, 755, 265
• GCD of 732, 439, 694, 307
• GCD of 940, 339, 465, 743
• GCD of 359, 125, 514, 878

Given numbers are 172, 356, 268, 290
The greatest common divisor of numbers 172, 356, 268, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 356, 268, 290 is 2.

1. What is the GCD of 172, 356, 268, 290?

GCD of given numbers 172, 356, 268, 290 is 2

2. How to calculate the greatest common divisor of 172, 356, 268, 290?

We can find the highest common divisor of 172, 356, 268, 290 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, 356, 268, 290 i.e 2.

3. How can I use the GCD of 172, 356, 268, 290Calculator?

Out the numbers 172, 356, 268, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.