GCD of 728, 972, 171, 553 Calculator

Given Input numbers are 728, 972, 171, 553

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

GCD of numbers is the greatest common divisor

So, the GCD (728, 972, 171, 553) = 1.

Given numbers are 728, 972, 171, 553

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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 171 are 3 x 3 x 19

Prime factors of 553 are 7 x 79

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

Given numbers are 728, 972, 171, 553

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

Apply this formula for all numbers.

Step1:

LCM(728, 972) = 176904

GCD(728, 972) = ( 728 x 972 ) / 176904

= 728 / 972

= 728

Step2:

LCM(4, 171) = 684

GCD(4, 171) = ( 4 x 171 ) / 684

= 4 / 171

= 4

Step3:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1

So, Greatest Common Divisor of 728, 972, 171, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 161, 205, 831
• GCD of 252, 298, 403, 755
• GCD of 261, 909, 207, 315
• GCD of 619, 225, 512, 580
• GCD of 549, 745, 402, 713

Given numbers are 728, 972, 171, 553
The greatest common divisor of numbers 728, 972, 171, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 972, 171, 553 is 1.

1. What is the GCD of 728, 972, 171, 553?

GCD of given numbers 728, 972, 171, 553 is 1

2. How to calculate the greatest common divisor of 728, 972, 171, 553?

We can find the highest common divisor of 728, 972, 171, 553 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, 972, 171, 553 i.e 1.

3. How can I use the GCD of 728, 972, 171, 553Calculator?

Out the numbers 728, 972, 171, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.