GCD of 384, 180, 707, 469 Calculator

Given Input numbers are 384, 180, 707, 469

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (384, 180, 707, 469) = 1.

Given numbers are 384, 180, 707, 469

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 707 are 7 x 101

Prime factors of 469 are 7 x 67

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 384, 180, 707, 469

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

Apply this formula for all numbers.

Step1:

LCM(384, 180) = 5760

GCD(384, 180) = ( 384 x 180 ) / 5760

= 384 / 180

= 384

Step2:

LCM(12, 707) = 8484

GCD(12, 707) = ( 12 x 707 ) / 8484

= 12 / 707

= 12

Step3:

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

= 1 / 469

= 1

So, Greatest Common Divisor of 384, 180, 707, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 477, 491, 494
• GCD of 595, 179, 818, 510
• GCD of 213, 415, 678, 430
• GCD of 892, 856, 760, 637
• GCD of 387, 644, 432, 221

Given numbers are 384, 180, 707, 469
The greatest common divisor of numbers 384, 180, 707, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 180, 707, 469 is 1.

1. What is the GCD of 384, 180, 707, 469?

GCD of given numbers 384, 180, 707, 469 is 1

2. How to calculate the greatest common divisor of 384, 180, 707, 469?

We can find the highest common divisor of 384, 180, 707, 469 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 384, 180, 707, 469 i.e 1.

3. How can I use the GCD of 384, 180, 707, 469Calculator?

Out the numbers 384, 180, 707, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.