GCD of 290, 728, 172, 280 Calculator

Given Input numbers are 290, 728, 172, 280

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

Divisors of 290 :

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

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (290, 728, 172, 280) = 2.

Given numbers are 290, 728, 172, 280

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 172 are 2 x 2 x 43

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 290, 728, 172, 280 is 2.

Given numbers are 290, 728, 172, 280

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

Apply this formula for all numbers.

Step1:

LCM(290, 728) = 105560

GCD(290, 728) = ( 290 x 728 ) / 105560

= 290 / 728

= 290

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 290, 728, 172, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 423, 417, 257
• GCD of 297, 730, 823, 859
• GCD of 226, 777, 468, 669
• GCD of 583, 991, 621, 932
• GCD of 686, 402, 894, 796

Given numbers are 290, 728, 172, 280
The greatest common divisor of numbers 290, 728, 172, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 728, 172, 280 is 2.

1. What is the GCD of 290, 728, 172, 280?

GCD of given numbers 290, 728, 172, 280 is 2

2. How to calculate the greatest common divisor of 290, 728, 172, 280?

We can find the highest common divisor of 290, 728, 172, 280 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 290, 728, 172, 280 i.e 2.

3. How can I use the GCD of 290, 728, 172, 280Calculator?

Out the numbers 290, 728, 172, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.