GCD of 567, 348, 972, 903 Calculator

Given Input numbers are 567, 348, 972, 903

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

GCD of numbers is the greatest common divisor

So, the GCD (567, 348, 972, 903) = 3.

Given numbers are 567, 348, 972, 903

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 348 are 2 x 2 x 3 x 29

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

Prime factors of 903 are 3 x 7 x 43

The highest common occurrence is 3¹

Therefore, GCD of 567, 348, 972, 903 is 3.

Given numbers are 567, 348, 972, 903

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

Apply this formula for all numbers.

Step1:

LCM(567, 348) = 65772

GCD(567, 348) = ( 567 x 348 ) / 65772

= 567 / 348

= 567

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

= 3 / 903

= 3

So, Greatest Common Divisor of 567, 348, 972, 903 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 332, 651, 287
• GCD of 739, 527, 238, 476
• GCD of 149, 592, 266, 432
• GCD of 522, 249, 518, 557
• GCD of 401, 581, 914, 607

Given numbers are 567, 348, 972, 903
The greatest common divisor of numbers 567, 348, 972, 903 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 348, 972, 903 is 3.

1. What is the GCD of 567, 348, 972, 903?

GCD of given numbers 567, 348, 972, 903 is 3

2. How to calculate the greatest common divisor of 567, 348, 972, 903?

We can find the highest common divisor of 567, 348, 972, 903 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 567, 348, 972, 903 i.e 3.

3. How can I use the GCD of 567, 348, 972, 903Calculator?

Out the numbers 567, 348, 972, 903 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.