GCD of 789, 117, 162, 783 Calculator

Given Input numbers are 789, 117, 162, 783

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

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

GCD of numbers is the greatest common divisor

So, the GCD (789, 117, 162, 783) = 3.

Given numbers are 789, 117, 162, 783

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 117 are 3 x 3 x 13

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 783 are 3 x 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 789, 117, 162, 783 is 3.

Given numbers are 789, 117, 162, 783

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

Apply this formula for all numbers.

Step1:

LCM(789, 117) = 30771

GCD(789, 117) = ( 789 x 117 ) / 30771

= 789 / 117

= 789

Step2:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

Step3:

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

= 3 / 783

= 3

So, Greatest Common Divisor of 789, 117, 162, 783 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 281, 288, 136
• GCD of 821, 229, 402, 988
• GCD of 257, 211, 954, 285
• GCD of 938, 398, 779, 286
• GCD of 520, 798, 258, 163

Given numbers are 789, 117, 162, 783
The greatest common divisor of numbers 789, 117, 162, 783 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 117, 162, 783 is 3.

1. What is the GCD of 789, 117, 162, 783?

GCD of given numbers 789, 117, 162, 783 is 3

2. How to calculate the greatest common divisor of 789, 117, 162, 783?

We can find the highest common divisor of 789, 117, 162, 783 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 789, 117, 162, 783 i.e 3.

3. How can I use the GCD of 789, 117, 162, 783Calculator?

Out the numbers 789, 117, 162, 783 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.