GCD of 728, 560, 225, 169 Calculator

Given Input numbers are 728, 560, 225, 169

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

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (728, 560, 225, 169) = 1.

Given numbers are 728, 560, 225, 169

The list of prime factors of all numbers are

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

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 169 are 13 x 13

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

Given numbers are 728, 560, 225, 169

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

Apply this formula for all numbers.

Step1:

LCM(728, 560) = 7280

GCD(728, 560) = ( 728 x 560 ) / 7280

= 728 / 560

= 728

Step2:

LCM(56, 225) = 12600

GCD(56, 225) = ( 56 x 225 ) / 12600

= 56 / 225

= 56

Step3:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1

So, Greatest Common Divisor of 728, 560, 225, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 807, 271, 966
• GCD of 107, 344, 993, 725
• GCD of 417, 328, 332, 252
• GCD of 406, 535, 214, 347
• GCD of 704, 918, 512, 963

Given numbers are 728, 560, 225, 169
The greatest common divisor of numbers 728, 560, 225, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 560, 225, 169 is 1.

1. What is the GCD of 728, 560, 225, 169?

GCD of given numbers 728, 560, 225, 169 is 1

2. How to calculate the greatest common divisor of 728, 560, 225, 169?

We can find the highest common divisor of 728, 560, 225, 169 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 728, 560, 225, 169 i.e 1.

3. How can I use the GCD of 728, 560, 225, 169Calculator?

Out the numbers 728, 560, 225, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.