GCD of 69, 339, 789, 420 Calculator

Given Input numbers are 69, 339, 789, 420

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

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (69, 339, 789, 420) = 3.

Given numbers are 69, 339, 789, 420

The list of prime factors of all numbers are

Prime factors of 69 are 3 x 23

Prime factors of 339 are 3 x 113

Prime factors of 789 are 3 x 263

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 69, 339, 789, 420 is 3.

Given numbers are 69, 339, 789, 420

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

Apply this formula for all numbers.

Step1:

LCM(69, 339) = 7797

GCD(69, 339) = ( 69 x 339 ) / 7797

= 69 / 339

= 69

Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 69, 339, 789, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 817, 879, 257
• GCD of 46, 496, 924, 360
• GCD of 22, 501, 236, 898
• GCD of 85, 914, 365, 955
• GCD of 85, 644, 180, 465

Given numbers are 69, 339, 789, 420
The greatest common divisor of numbers 69, 339, 789, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 69, 339, 789, 420 is 3.

1. What is the GCD of 69, 339, 789, 420?

GCD of given numbers 69, 339, 789, 420 is 3

2. How to calculate the greatest common divisor of 69, 339, 789, 420?

We can find the highest common divisor of 69, 339, 789, 420 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 69, 339, 789, 420 i.e 3.

3. How can I use the GCD of 69, 339, 789, 420Calculator?

Out the numbers 69, 339, 789, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.