GCD of 474, 789, 585, 351 Calculator

Given Input numbers are 474, 789, 585, 351

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (474, 789, 585, 351) = 3.

Given numbers are 474, 789, 585, 351

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 789 are 3 x 263

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 474, 789, 585, 351 is 3.

Given numbers are 474, 789, 585, 351

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

Apply this formula for all numbers.

Step1:

LCM(474, 789) = 124662

GCD(474, 789) = ( 474 x 789 ) / 124662

= 474 / 789

= 474

Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 474, 789, 585, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 382, 768, 780
• GCD of 425, 454, 439, 426
• GCD of 150, 139, 635, 553
• GCD of 562, 848, 453, 562
• GCD of 143, 143, 930, 942

Given numbers are 474, 789, 585, 351
The greatest common divisor of numbers 474, 789, 585, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 789, 585, 351 is 3.

1. What is the GCD of 474, 789, 585, 351?

GCD of given numbers 474, 789, 585, 351 is 3

2. How to calculate the greatest common divisor of 474, 789, 585, 351?

We can find the highest common divisor of 474, 789, 585, 351 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 474, 789, 585, 351 i.e 3.

3. How can I use the GCD of 474, 789, 585, 351Calculator?

Out the numbers 474, 789, 585, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.