GCD of 231, 916, 460, 712 Calculator

Given Input numbers are 231, 916, 460, 712

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

Divisors of 231 :

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

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (231, 916, 460, 712) = 1.

Given numbers are 231, 916, 460, 712

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 916 are 2 x 2 x 229

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 712 are 2 x 2 x 2 x 89

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

Given numbers are 231, 916, 460, 712

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

Apply this formula for all numbers.

Step1:

LCM(231, 916) = 211596

GCD(231, 916) = ( 231 x 916 ) / 211596

= 231 / 916

= 231

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

So, Greatest Common Divisor of 231, 916, 460, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 181, 775, 936
• GCD of 390, 221, 439, 585
• GCD of 965, 911, 782, 970
• GCD of 299, 647, 607, 186
• GCD of 366, 371, 277, 823

Given numbers are 231, 916, 460, 712
The greatest common divisor of numbers 231, 916, 460, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 916, 460, 712 is 1.

1. What is the GCD of 231, 916, 460, 712?

GCD of given numbers 231, 916, 460, 712 is 1

2. How to calculate the greatest common divisor of 231, 916, 460, 712?

We can find the highest common divisor of 231, 916, 460, 712 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 231, 916, 460, 712 i.e 1.

3. How can I use the GCD of 231, 916, 460, 712Calculator?

Out the numbers 231, 916, 460, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.