GCD of 432, 509, 682, 942 Calculator

Given Input numbers are 432, 509, 682, 942

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (432, 509, 682, 942) = 1.

Given numbers are 432, 509, 682, 942

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 509 are 509

Prime factors of 682 are 2 x 11 x 31

Prime factors of 942 are 2 x 3 x 157

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

Given numbers are 432, 509, 682, 942

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

Apply this formula for all numbers.

Step1:

LCM(432, 509) = 219888

GCD(432, 509) = ( 432 x 509 ) / 219888

= 432 / 509

= 432

Step2:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

Step3:

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

= 1 / 942

= 1

So, Greatest Common Divisor of 432, 509, 682, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 160, 193, 292
• GCD of 186, 682, 107, 518
• GCD of 904, 931, 246, 209
• GCD of 696, 554, 231, 234
• GCD of 902, 529, 681, 503

Given numbers are 432, 509, 682, 942
The greatest common divisor of numbers 432, 509, 682, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 509, 682, 942 is 1.

1. What is the GCD of 432, 509, 682, 942?

GCD of given numbers 432, 509, 682, 942 is 1

2. How to calculate the greatest common divisor of 432, 509, 682, 942?

We can find the highest common divisor of 432, 509, 682, 942 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 432, 509, 682, 942 i.e 1.

3. How can I use the GCD of 432, 509, 682, 942Calculator?

Out the numbers 432, 509, 682, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.