GCD of 408, 699, 768, 471 Calculator

Given Input numbers are 408, 699, 768, 471

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (408, 699, 768, 471) = 3.

Given numbers are 408, 699, 768, 471

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 699 are 3 x 233

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 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 408, 699, 768, 471 is 3.

Given numbers are 408, 699, 768, 471

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

Apply this formula for all numbers.

Step1:

LCM(408, 699) = 95064

GCD(408, 699) = ( 408 x 699 ) / 95064

= 408 / 699

= 408

Step2:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 408, 699, 768, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 682, 821, 651
• GCD of 919, 684, 578, 759
• GCD of 353, 336, 597, 511
• GCD of 591, 371, 884, 328
• GCD of 623, 983, 128, 823

Given numbers are 408, 699, 768, 471
The greatest common divisor of numbers 408, 699, 768, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 699, 768, 471 is 3.

1. What is the GCD of 408, 699, 768, 471?

GCD of given numbers 408, 699, 768, 471 is 3

2. How to calculate the greatest common divisor of 408, 699, 768, 471?

We can find the highest common divisor of 408, 699, 768, 471 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 408, 699, 768, 471 i.e 3.

3. How can I use the GCD of 408, 699, 768, 471Calculator?

Out the numbers 408, 699, 768, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.