GCD of 168, 903, 814, 972 Calculator

Given Input numbers are 168, 903, 814, 972

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 903 :

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

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 (168, 903, 814, 972) = 1.

Given numbers are 168, 903, 814, 972

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 903 are 3 x 7 x 43

Prime factors of 814 are 2 x 11 x 37

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 168, 903, 814, 972

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

Apply this formula for all numbers.

Step1:

LCM(168, 903) = 7224

GCD(168, 903) = ( 168 x 903 ) / 7224

= 168 / 903

= 168

Step2:

LCM(21, 814) = 17094

GCD(21, 814) = ( 21 x 814 ) / 17094

= 21 / 814

= 21

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 168, 903, 814, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 754, 632, 193
• GCD of 940, 914, 483, 404
• GCD of 138, 313, 475, 104
• GCD of 778, 333, 319, 775
• GCD of 995, 935, 499, 522

Given numbers are 168, 903, 814, 972
The greatest common divisor of numbers 168, 903, 814, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 903, 814, 972 is 1.

1. What is the GCD of 168, 903, 814, 972?

GCD of given numbers 168, 903, 814, 972 is 1

2. How to calculate the greatest common divisor of 168, 903, 814, 972?

We can find the highest common divisor of 168, 903, 814, 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 168, 903, 814, 972 i.e 1.

3. How can I use the GCD of 168, 903, 814, 972Calculator?

Out the numbers 168, 903, 814, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.