GCD of 438, 172, 416, 730 Calculator

Given Input numbers are 438, 172, 416, 730

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (438, 172, 416, 730) = 2.

Given numbers are 438, 172, 416, 730

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 172 are 2 x 2 x 43

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 438, 172, 416, 730 is 2.

Given numbers are 438, 172, 416, 730

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

Apply this formula for all numbers.

Step1:

LCM(438, 172) = 37668

GCD(438, 172) = ( 438 x 172 ) / 37668

= 438 / 172

= 438

Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 438, 172, 416, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 936, 890, 896
• GCD of 364, 333, 105, 194
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• GCD of 582, 829, 762, 863

Given numbers are 438, 172, 416, 730
The greatest common divisor of numbers 438, 172, 416, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 172, 416, 730 is 2.

1. What is the GCD of 438, 172, 416, 730?

GCD of given numbers 438, 172, 416, 730 is 2

2. How to calculate the greatest common divisor of 438, 172, 416, 730?

We can find the highest common divisor of 438, 172, 416, 730 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 438, 172, 416, 730 i.e 2.

3. How can I use the GCD of 438, 172, 416, 730Calculator?

Out the numbers 438, 172, 416, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.