GCD of 916, 342, 172, 442 Calculator

Given Input numbers are 916, 342, 172, 442

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (916, 342, 172, 442) = 2.

Given numbers are 916, 342, 172, 442

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 172 are 2 x 2 x 43

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 916, 342, 172, 442 is 2.

Given numbers are 916, 342, 172, 442

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

Apply this formula for all numbers.

Step1:

LCM(916, 342) = 156636

GCD(916, 342) = ( 916 x 342 ) / 156636

= 916 / 342

= 916

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 916, 342, 172, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 102, 597, 934
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Given numbers are 916, 342, 172, 442
The greatest common divisor of numbers 916, 342, 172, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 342, 172, 442 is 2.

1. What is the GCD of 916, 342, 172, 442?

GCD of given numbers 916, 342, 172, 442 is 2

2. How to calculate the greatest common divisor of 916, 342, 172, 442?

We can find the highest common divisor of 916, 342, 172, 442 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 916, 342, 172, 442 i.e 2.

3. How can I use the GCD of 916, 342, 172, 442Calculator?

Out the numbers 916, 342, 172, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.