GCD of 164, 118, 196, 208 Calculator

Given Input numbers are 164, 118, 196, 208

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (164, 118, 196, 208) = 2.

Given numbers are 164, 118, 196, 208

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 118 are 2 x 59

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 164, 118, 196, 208 is 2.

Given numbers are 164, 118, 196, 208

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

Apply this formula for all numbers.

Step1:

LCM(164, 118) = 9676

GCD(164, 118) = ( 164 x 118 ) / 9676

= 164 / 118

= 164

Step2:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 164, 118, 196, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 854, 111, 676
• GCD of 503, 168, 944, 394
• GCD of 140, 231, 535, 987
• GCD of 378, 178, 187, 526
• GCD of 582, 295, 340, 333

Given numbers are 164, 118, 196, 208
The greatest common divisor of numbers 164, 118, 196, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 118, 196, 208 is 2.

1. What is the GCD of 164, 118, 196, 208?

GCD of given numbers 164, 118, 196, 208 is 2

2. How to calculate the greatest common divisor of 164, 118, 196, 208?

We can find the highest common divisor of 164, 118, 196, 208 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, 118, 196, 208 i.e 2.

3. How can I use the GCD of 164, 118, 196, 208Calculator?

Out the numbers 164, 118, 196, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.