GCD of 354, 348, 984, 792 Calculator

Given Input numbers are 354, 348, 984, 792

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

GCD of numbers is the greatest common divisor

So, the GCD (354, 348, 984, 792) = 6.

Given numbers are 354, 348, 984, 792

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 354, 348, 984, 792 is 6.

Given numbers are 354, 348, 984, 792

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

Apply this formula for all numbers.

Step1:

LCM(354, 348) = 20532

GCD(354, 348) = ( 354 x 348 ) / 20532

= 354 / 348

= 354

Step2:

LCM(6, 984) = 984

GCD(6, 984) = ( 6 x 984 ) / 984

= 6 / 984

= 6

Step3:

LCM(6, 792) = 792

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

= 6 / 792

= 6

So, Greatest Common Divisor of 354, 348, 984, 792 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 927, 907, 609
• GCD of 816, 253, 124, 646
• GCD of 483, 150, 448, 451
• GCD of 956, 486, 657, 414
• GCD of 589, 169, 464, 921

Given numbers are 354, 348, 984, 792
The greatest common divisor of numbers 354, 348, 984, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 348, 984, 792 is 6.

1. What is the GCD of 354, 348, 984, 792?

GCD of given numbers 354, 348, 984, 792 is 6

2. How to calculate the greatest common divisor of 354, 348, 984, 792?

We can find the highest common divisor of 354, 348, 984, 792 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, 348, 984, 792 i.e 6.

3. How can I use the GCD of 354, 348, 984, 792Calculator?

Out the numbers 354, 348, 984, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.