GCD of 437, 432, 305, 142 Calculator

Given Input numbers are 437, 432, 305, 142

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

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (437, 432, 305, 142) = 1.

Given numbers are 437, 432, 305, 142

The list of prime factors of all numbers are

Prime factors of 437 are 19 x 23

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

Prime factors of 305 are 5 x 61

Prime factors of 142 are 2 x 71

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

Given numbers are 437, 432, 305, 142

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

Apply this formula for all numbers.

Step1:

LCM(437, 432) = 188784

GCD(437, 432) = ( 437 x 432 ) / 188784

= 437 / 432

= 437

Step2:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 437, 432, 305, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 480, 453, 984
• GCD of 236, 925, 798, 957
• GCD of 267, 882, 559, 614
• GCD of 582, 262, 389, 479
• GCD of 628, 846, 691, 310

Given numbers are 437, 432, 305, 142
The greatest common divisor of numbers 437, 432, 305, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 432, 305, 142 is 1.

1. What is the GCD of 437, 432, 305, 142?

GCD of given numbers 437, 432, 305, 142 is 1

2. How to calculate the greatest common divisor of 437, 432, 305, 142?

We can find the highest common divisor of 437, 432, 305, 142 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 437, 432, 305, 142 i.e 1.

3. How can I use the GCD of 437, 432, 305, 142Calculator?

Out the numbers 437, 432, 305, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.