GCD of 390, 789, 705, 552 Calculator

Given Input numbers are 390, 789, 705, 552

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (390, 789, 705, 552) = 3.

Given numbers are 390, 789, 705, 552

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 789 are 3 x 263

Prime factors of 705 are 3 x 5 x 47

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 390, 789, 705, 552 is 3.

Given numbers are 390, 789, 705, 552

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

Apply this formula for all numbers.

Step1:

LCM(390, 789) = 102570

GCD(390, 789) = ( 390 x 789 ) / 102570

= 390 / 789

= 390

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

Step3:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

So, Greatest Common Divisor of 390, 789, 705, 552 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 970, 283, 419
• GCD of 525, 292, 396, 742
• GCD of 124, 770, 787, 196
• GCD of 443, 476, 409, 906
• GCD of 958, 438, 711, 545

Given numbers are 390, 789, 705, 552
The greatest common divisor of numbers 390, 789, 705, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 789, 705, 552 is 3.

1. What is the GCD of 390, 789, 705, 552?

GCD of given numbers 390, 789, 705, 552 is 3

2. How to calculate the greatest common divisor of 390, 789, 705, 552?

We can find the highest common divisor of 390, 789, 705, 552 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 390, 789, 705, 552 i.e 3.

3. How can I use the GCD of 390, 789, 705, 552Calculator?

Out the numbers 390, 789, 705, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.