GCD of 972, 899, 694, 231 Calculator

Given Input numbers are 972, 899, 694, 231

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

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 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (972, 899, 694, 231) = 1.

Given numbers are 972, 899, 694, 231

The list of prime factors of all numbers are

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

Prime factors of 899 are 29 x 31

Prime factors of 694 are 2 x 347

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 972, 899, 694, 231

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

Apply this formula for all numbers.

Step1:

LCM(972, 899) = 873828

GCD(972, 899) = ( 972 x 899 ) / 873828

= 972 / 899

= 972

Step2:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 972, 899, 694, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 406, 270, 831
• GCD of 564, 228, 881, 652
• GCD of 725, 465, 303, 862
• GCD of 227, 292, 925, 201
• GCD of 788, 925, 553, 812

Given numbers are 972, 899, 694, 231
The greatest common divisor of numbers 972, 899, 694, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 899, 694, 231 is 1.

1. What is the GCD of 972, 899, 694, 231?

GCD of given numbers 972, 899, 694, 231 is 1

2. How to calculate the greatest common divisor of 972, 899, 694, 231?

We can find the highest common divisor of 972, 899, 694, 231 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 972, 899, 694, 231 i.e 1.

3. How can I use the GCD of 972, 899, 694, 231Calculator?

Out the numbers 972, 899, 694, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.