GCD of 424, 209, 433, 414 Calculator

Given Input numbers are 424, 209, 433, 414

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 433 :

The positive integer divisors of 433 that completely divides 433 are.

1, 433

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (424, 209, 433, 414) = 1.

Given numbers are 424, 209, 433, 414

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 209 are 11 x 19

Prime factors of 433 are 433

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 424, 209, 433, 414

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

Apply this formula for all numbers.

Step1:

LCM(424, 209) = 88616

GCD(424, 209) = ( 424 x 209 ) / 88616

= 424 / 209

= 424

Step2:

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

= 1 / 433

= 1

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 424, 209, 433, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 469, 995, 753
• GCD of 972, 324, 262, 456
• GCD of 468, 931, 458, 606
• GCD of 719, 940, 354, 211
• GCD of 730, 567, 576, 306

Given numbers are 424, 209, 433, 414
The greatest common divisor of numbers 424, 209, 433, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 209, 433, 414 is 1.

1. What is the GCD of 424, 209, 433, 414?

GCD of given numbers 424, 209, 433, 414 is 1

2. How to calculate the greatest common divisor of 424, 209, 433, 414?

We can find the highest common divisor of 424, 209, 433, 414 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 424, 209, 433, 414 i.e 1.

3. How can I use the GCD of 424, 209, 433, 414Calculator?

Out the numbers 424, 209, 433, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.