GCD of 474, 393, 408, 429 Calculator

Given Input numbers are 474, 393, 408, 429

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (474, 393, 408, 429) = 3.

Given numbers are 474, 393, 408, 429

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 393 are 3 x 131

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

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 3¹

Therefore, GCD of 474, 393, 408, 429 is 3.

Given numbers are 474, 393, 408, 429

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

Apply this formula for all numbers.

Step1:

LCM(474, 393) = 62094

GCD(474, 393) = ( 474 x 393 ) / 62094

= 474 / 393

= 474

Step2:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

Step3:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

So, Greatest Common Divisor of 474, 393, 408, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 760, 233, 697
• GCD of 763, 774, 891, 591
• GCD of 277, 401, 107, 315
• GCD of 326, 579, 615, 163
• GCD of 182, 527, 981, 639

Given numbers are 474, 393, 408, 429
The greatest common divisor of numbers 474, 393, 408, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 393, 408, 429 is 3.

1. What is the GCD of 474, 393, 408, 429?

GCD of given numbers 474, 393, 408, 429 is 3

2. How to calculate the greatest common divisor of 474, 393, 408, 429?

We can find the highest common divisor of 474, 393, 408, 429 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 474, 393, 408, 429 i.e 3.

3. How can I use the GCD of 474, 393, 408, 429Calculator?

Out the numbers 474, 393, 408, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.