GCD of 553, 270, 323, 972 Calculator

Given Input numbers are 553, 270, 323, 972

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

Divisors of 553 :

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

1, 7, 79, 553

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

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

GCD of numbers is the greatest common divisor

So, the GCD (553, 270, 323, 972) = 1.

Given numbers are 553, 270, 323, 972

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 323 are 17 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 553, 270, 323, 972

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

Apply this formula for all numbers.

Step1:

LCM(553, 270) = 149310

GCD(553, 270) = ( 553 x 270 ) / 149310

= 553 / 270

= 553

Step2:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 553, 270, 323, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 293, 352, 968
• GCD of 894, 291, 972, 791
• GCD of 878, 102, 117, 503
• GCD of 151, 680, 574, 403
• GCD of 691, 984, 571, 372

Given numbers are 553, 270, 323, 972
The greatest common divisor of numbers 553, 270, 323, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 270, 323, 972 is 1.

1. What is the GCD of 553, 270, 323, 972?

GCD of given numbers 553, 270, 323, 972 is 1

2. How to calculate the greatest common divisor of 553, 270, 323, 972?

We can find the highest common divisor of 553, 270, 323, 972 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 553, 270, 323, 972 i.e 1.

3. How can I use the GCD of 553, 270, 323, 972Calculator?

Out the numbers 553, 270, 323, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.