GCD of 231, 432, 735, 416 Calculator

Given Input numbers are 231, 432, 735, 416

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (231, 432, 735, 416) = 1.

Given numbers are 231, 432, 735, 416

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

Given numbers are 231, 432, 735, 416

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

Apply this formula for all numbers.

Step1:

LCM(231, 432) = 33264

GCD(231, 432) = ( 231 x 432 ) / 33264

= 231 / 432

= 231

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 416) = 1248

GCD(3, 416) = ( 3 x 416 ) / 1248

= 3 / 416

= 3

So, Greatest Common Divisor of 231, 432, 735, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 766, 927, 690
• GCD of 362, 815, 796, 280
• GCD of 949, 512, 255, 182
• GCD of 545, 252, 766, 907
• GCD of 978, 228, 346, 883

Given numbers are 231, 432, 735, 416
The greatest common divisor of numbers 231, 432, 735, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 432, 735, 416 is 1.

1. What is the GCD of 231, 432, 735, 416?

GCD of given numbers 231, 432, 735, 416 is 1

2. How to calculate the greatest common divisor of 231, 432, 735, 416?

We can find the highest common divisor of 231, 432, 735, 416 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, 432, 735, 416 i.e 1.

3. How can I use the GCD of 231, 432, 735, 416Calculator?

Out the numbers 231, 432, 735, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.