GCD of 723, 357, 982, 432 Calculator

Given Input numbers are 723, 357, 982, 432

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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

GCD of numbers is the greatest common divisor

So, the GCD (723, 357, 982, 432) = 1.

Given numbers are 723, 357, 982, 432

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 357 are 3 x 7 x 17

Prime factors of 982 are 2 x 491

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

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

Given numbers are 723, 357, 982, 432

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

Apply this formula for all numbers.

Step1:

LCM(723, 357) = 86037

GCD(723, 357) = ( 723 x 357 ) / 86037

= 723 / 357

= 723

Step2:

LCM(3, 982) = 2946

GCD(3, 982) = ( 3 x 982 ) / 2946

= 3 / 982

= 3

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 723, 357, 982, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 422, 473, 666
• GCD of 492, 217, 117, 249
• GCD of 896, 108, 414, 815
• GCD of 689, 630, 653, 433
• GCD of 172, 256, 167, 565

Given numbers are 723, 357, 982, 432
The greatest common divisor of numbers 723, 357, 982, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 357, 982, 432 is 1.

1. What is the GCD of 723, 357, 982, 432?

GCD of given numbers 723, 357, 982, 432 is 1

2. How to calculate the greatest common divisor of 723, 357, 982, 432?

We can find the highest common divisor of 723, 357, 982, 432 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 723, 357, 982, 432 i.e 1.

3. How can I use the GCD of 723, 357, 982, 432Calculator?

Out the numbers 723, 357, 982, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.