GCD of 831, 727, 704, 972 Calculator

Given Input numbers are 831, 727, 704, 972

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 (831, 727, 704, 972) = 1.

Given numbers are 831, 727, 704, 972

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 727 are 727

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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 831, 727, 704, 972

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

Apply this formula for all numbers.

Step1:

LCM(831, 727) = 604137

GCD(831, 727) = ( 831 x 727 ) / 604137

= 831 / 727

= 831

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 831, 727, 704, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 983, 217, 105
• GCD of 847, 786, 683, 174
• GCD of 217, 463, 618, 355
• GCD of 613, 327, 960, 287
• GCD of 772, 236, 757, 546

Given numbers are 831, 727, 704, 972
The greatest common divisor of numbers 831, 727, 704, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 727, 704, 972 is 1.

1. What is the GCD of 831, 727, 704, 972?

GCD of given numbers 831, 727, 704, 972 is 1

2. How to calculate the greatest common divisor of 831, 727, 704, 972?

We can find the highest common divisor of 831, 727, 704, 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 831, 727, 704, 972 i.e 1.

3. How can I use the GCD of 831, 727, 704, 972Calculator?

Out the numbers 831, 727, 704, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.