GCD of 354, 792, 473, 420 Calculator

Given Input numbers are 354, 792, 473, 420

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (354, 792, 473, 420) = 1.

Given numbers are 354, 792, 473, 420

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 473 are 11 x 43

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 354, 792, 473, 420

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

Apply this formula for all numbers.

Step1:

LCM(354, 792) = 46728

GCD(354, 792) = ( 354 x 792 ) / 46728

= 354 / 792

= 354

Step2:

LCM(6, 473) = 2838

GCD(6, 473) = ( 6 x 473 ) / 2838

= 6 / 473

= 6

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 354, 792, 473, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 701, 695, 445
• GCD of 553, 908, 576, 851
• GCD of 730, 226, 378, 348
• GCD of 665, 419, 774, 945
• GCD of 391, 214, 877, 462

Given numbers are 354, 792, 473, 420
The greatest common divisor of numbers 354, 792, 473, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 792, 473, 420 is 1.

1. What is the GCD of 354, 792, 473, 420?

GCD of given numbers 354, 792, 473, 420 is 1

2. How to calculate the greatest common divisor of 354, 792, 473, 420?

We can find the highest common divisor of 354, 792, 473, 420 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 354, 792, 473, 420 i.e 1.

3. How can I use the GCD of 354, 792, 473, 420Calculator?

Out the numbers 354, 792, 473, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.