GCD of 164, 340, 432, 916 Calculator

Given Input numbers are 164, 340, 432, 916

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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 916 :

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

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (164, 340, 432, 916) = 4.

Given numbers are 164, 340, 432, 916

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 340 are 2 x 2 x 5 x 17

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

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2²

Therefore, GCD of 164, 340, 432, 916 is 4.

Given numbers are 164, 340, 432, 916

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

Apply this formula for all numbers.

Step1:

LCM(164, 340) = 13940

GCD(164, 340) = ( 164 x 340 ) / 13940

= 164 / 340

= 164

Step2:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4

Step3:

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

= 4 / 916

= 4

So, Greatest Common Divisor of 164, 340, 432, 916 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 924, 135, 179
• GCD of 960, 574, 587, 292
• GCD of 636, 806, 328, 771
• GCD of 254, 155, 284, 465
• GCD of 564, 809, 792, 645

Given numbers are 164, 340, 432, 916
The greatest common divisor of numbers 164, 340, 432, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 340, 432, 916 is 4.

1. What is the GCD of 164, 340, 432, 916?

GCD of given numbers 164, 340, 432, 916 is 4

2. How to calculate the greatest common divisor of 164, 340, 432, 916?

We can find the highest common divisor of 164, 340, 432, 916 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 164, 340, 432, 916 i.e 4.

3. How can I use the GCD of 164, 340, 432, 916Calculator?

Out the numbers 164, 340, 432, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.