GCD of 355, 504, 999, 742 Calculator

Given Input numbers are 355, 504, 999, 742

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

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 (355, 504, 999, 742) = 1.

Given numbers are 355, 504, 999, 742

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 999 are 3 x 3 x 3 x 37

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 355, 504, 999, 742

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

Apply this formula for all numbers.

Step1:

LCM(355, 504) = 178920

GCD(355, 504) = ( 355 x 504 ) / 178920

= 355 / 504

= 355

Step2:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1

Step3:

LCM(1, 742) = 742

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

= 1 / 742

= 1

So, Greatest Common Divisor of 355, 504, 999, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 542, 676, 202
• GCD of 608, 205, 383, 170
• GCD of 660, 222, 958, 583
• GCD of 686, 547, 103, 969
• GCD of 208, 594, 283, 527

Given numbers are 355, 504, 999, 742
The greatest common divisor of numbers 355, 504, 999, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 504, 999, 742 is 1.

1. What is the GCD of 355, 504, 999, 742?

GCD of given numbers 355, 504, 999, 742 is 1

2. How to calculate the greatest common divisor of 355, 504, 999, 742?

We can find the highest common divisor of 355, 504, 999, 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 355, 504, 999, 742 i.e 1.

3. How can I use the GCD of 355, 504, 999, 742Calculator?

Out the numbers 355, 504, 999, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.