GCD of 354, 882, 792, 285 Calculator

Given Input numbers are 354, 882, 792, 285

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

GCD of numbers is the greatest common divisor

So, the GCD (354, 882, 792, 285) = 3.

Given numbers are 354, 882, 792, 285

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Prime factors of 285 are 3 x 5 x 19

The highest common occurrence is 3¹

Therefore, GCD of 354, 882, 792, 285 is 3.

Given numbers are 354, 882, 792, 285

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

Apply this formula for all numbers.

Step1:

LCM(354, 882) = 52038

GCD(354, 882) = ( 354 x 882 ) / 52038

= 354 / 882

= 354

Step2:

LCM(6, 792) = 792

GCD(6, 792) = ( 6 x 792 ) / 792

= 6 / 792

= 6

Step3:

LCM(6, 285) = 570

GCD(6, 285) = ( 6 x 285 ) / 570

= 6 / 285

= 6

So, Greatest Common Divisor of 354, 882, 792, 285 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 667, 595, 951
• GCD of 716, 472, 414, 521
• GCD of 884, 403, 593, 321
• GCD of 521, 759, 263, 247
• GCD of 201, 778, 139, 240

Given numbers are 354, 882, 792, 285
The greatest common divisor of numbers 354, 882, 792, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 882, 792, 285 is 3.

1. What is the GCD of 354, 882, 792, 285?

GCD of given numbers 354, 882, 792, 285 is 3

2. How to calculate the greatest common divisor of 354, 882, 792, 285?

We can find the highest common divisor of 354, 882, 792, 285 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, 882, 792, 285 i.e 3.

3. How can I use the GCD of 354, 882, 792, 285Calculator?

Out the numbers 354, 882, 792, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.