GCD of 353, 432, 558, 742 Calculator

Given Input numbers are 353, 432, 558, 742

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (353, 432, 558, 742) = 1.

Given numbers are 353, 432, 558, 742

The list of prime factors of all numbers are

Prime factors of 353 are 353

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

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 353, 432, 558, 742

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

Apply this formula for all numbers.

Step1:

LCM(353, 432) = 152496

GCD(353, 432) = ( 353 x 432 ) / 152496

= 353 / 432

= 353

Step2:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 353, 432, 558, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 179, 690, 360
• GCD of 784, 579, 289, 702
• GCD of 202, 722, 919, 630
• GCD of 262, 170, 931, 706
• GCD of 738, 261, 892, 475

Given numbers are 353, 432, 558, 742
The greatest common divisor of numbers 353, 432, 558, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 432, 558, 742 is 1.

1. What is the GCD of 353, 432, 558, 742?

GCD of given numbers 353, 432, 558, 742 is 1

2. How to calculate the greatest common divisor of 353, 432, 558, 742?

We can find the highest common divisor of 353, 432, 558, 742 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 353, 432, 558, 742 i.e 1.

3. How can I use the GCD of 353, 432, 558, 742Calculator?

Out the numbers 353, 432, 558, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.