GCD of 164, 100, 14, 160 Calculator

Given Input numbers are 164, 100, 14, 160

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (164, 100, 14, 160) = 2.

Given numbers are 164, 100, 14, 160

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 14 are 2 x 7

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 164, 100, 14, 160 is 2.

Given numbers are 164, 100, 14, 160

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

Apply this formula for all numbers.

Step1:

LCM(164, 100) = 4100

GCD(164, 100) = ( 164 x 100 ) / 4100

= 164 / 100

= 164

Step2:

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

= 4 / 14

= 4

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 164, 100, 14, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 584, 16, 147
• GCD of 659, 888, 93, 811
• GCD of 712, 868, 35, 901
• GCD of 297, 537, 73, 182
• GCD of 366, 949, 57, 937

Given numbers are 164, 100, 14, 160
The greatest common divisor of numbers 164, 100, 14, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 100, 14, 160 is 2.

1. What is the GCD of 164, 100, 14, 160?

GCD of given numbers 164, 100, 14, 160 is 2

2. How to calculate the greatest common divisor of 164, 100, 14, 160?

We can find the highest common divisor of 164, 100, 14, 160 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, 100, 14, 160 i.e 2.

3. How can I use the GCD of 164, 100, 14, 160Calculator?

Out the numbers 164, 100, 14, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.