GCD of 354, 996, 909, 798 Calculator

Given Input numbers are 354, 996, 909, 798

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (354, 996, 909, 798) = 3.

Given numbers are 354, 996, 909, 798

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 909 are 3 x 3 x 101

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 354, 996, 909, 798 is 3.

Given numbers are 354, 996, 909, 798

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

Apply this formula for all numbers.

Step1:

LCM(354, 996) = 58764

GCD(354, 996) = ( 354 x 996 ) / 58764

= 354 / 996

= 354

Step2:

LCM(6, 909) = 1818

GCD(6, 909) = ( 6 x 909 ) / 1818

= 6 / 909

= 6

Step3:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

So, Greatest Common Divisor of 354, 996, 909, 798 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 414, 237, 722
• GCD of 567, 595, 411, 890
• GCD of 805, 935, 643, 603
• GCD of 367, 447, 796, 260
• GCD of 209, 189, 396, 368

Given numbers are 354, 996, 909, 798
The greatest common divisor of numbers 354, 996, 909, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 996, 909, 798 is 3.

1. What is the GCD of 354, 996, 909, 798?

GCD of given numbers 354, 996, 909, 798 is 3

2. How to calculate the greatest common divisor of 354, 996, 909, 798?

We can find the highest common divisor of 354, 996, 909, 798 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, 996, 909, 798 i.e 3.

3. How can I use the GCD of 354, 996, 909, 798Calculator?

Out the numbers 354, 996, 909, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.