GCD of 768, 789, 996, 354 Calculator

Given Input numbers are 768, 789, 996, 354

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 789 :

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

1, 3, 263, 789

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 354 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (768, 789, 996, 354) = 3.

Given numbers are 768, 789, 996, 354

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 789 are 3 x 263

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 768, 789, 996, 354 is 3.

Given numbers are 768, 789, 996, 354

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

Apply this formula for all numbers.

Step1:

LCM(768, 789) = 201984

GCD(768, 789) = ( 768 x 789 ) / 201984

= 768 / 789

= 768

Step2:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 768, 789, 996, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 868, 277, 926
• GCD of 950, 176, 105, 681
• GCD of 774, 819, 216, 264
• GCD of 495, 560, 390, 252
• GCD of 895, 803, 750, 490

Given numbers are 768, 789, 996, 354
The greatest common divisor of numbers 768, 789, 996, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 789, 996, 354 is 3.

1. What is the GCD of 768, 789, 996, 354?

GCD of given numbers 768, 789, 996, 354 is 3

2. How to calculate the greatest common divisor of 768, 789, 996, 354?

We can find the highest common divisor of 768, 789, 996, 354 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 768, 789, 996, 354 i.e 3.

3. How can I use the GCD of 768, 789, 996, 354Calculator?

Out the numbers 768, 789, 996, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.