GCD of 472, 742, 209, 433 Calculator

Given Input numbers are 472, 742, 209, 433

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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

GCD of numbers is the greatest common divisor

So, the GCD (472, 742, 209, 433) = 1.

Given numbers are 472, 742, 209, 433

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 742 are 2 x 7 x 53

Prime factors of 209 are 11 x 19

Prime factors of 433 are 433

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

Given numbers are 472, 742, 209, 433

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

Apply this formula for all numbers.

Step1:

LCM(472, 742) = 175112

GCD(472, 742) = ( 472 x 742 ) / 175112

= 472 / 742

= 472

Step2:

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

= 2 / 209

= 2

Step3:

LCM(1, 433) = 433

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

= 1 / 433

= 1

So, Greatest Common Divisor of 472, 742, 209, 433 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 899, 871, 577
• GCD of 376, 591, 517, 401
• GCD of 808, 637, 417, 490
• GCD of 484, 977, 817, 245
• GCD of 578, 456, 714, 971

Given numbers are 472, 742, 209, 433
The greatest common divisor of numbers 472, 742, 209, 433 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 742, 209, 433 is 1.

1. What is the GCD of 472, 742, 209, 433?

GCD of given numbers 472, 742, 209, 433 is 1

2. How to calculate the greatest common divisor of 472, 742, 209, 433?

We can find the highest common divisor of 472, 742, 209, 433 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 472, 742, 209, 433 i.e 1.

3. How can I use the GCD of 472, 742, 209, 433Calculator?

Out the numbers 472, 742, 209, 433 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.