GCD of 548, 102, 164, 188 Calculator

Given Input numbers are 548, 102, 164, 188

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (548, 102, 164, 188) = 2.

Given numbers are 548, 102, 164, 188

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 102 are 2 x 3 x 17

Prime factors of 164 are 2 x 2 x 41

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 548, 102, 164, 188 is 2.

Given numbers are 548, 102, 164, 188

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

Apply this formula for all numbers.

Step1:

LCM(548, 102) = 27948

GCD(548, 102) = ( 548 x 102 ) / 27948

= 548 / 102

= 548

Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 548, 102, 164, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 742, 285, 627
• GCD of 517, 715, 108, 506
• GCD of 762, 836, 975, 727
• GCD of 350, 291, 189, 718
• GCD of 223, 326, 502, 364

Given numbers are 548, 102, 164, 188
The greatest common divisor of numbers 548, 102, 164, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 102, 164, 188 is 2.

1. What is the GCD of 548, 102, 164, 188?

GCD of given numbers 548, 102, 164, 188 is 2

2. How to calculate the greatest common divisor of 548, 102, 164, 188?

We can find the highest common divisor of 548, 102, 164, 188 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 548, 102, 164, 188 i.e 2.

3. How can I use the GCD of 548, 102, 164, 188Calculator?

Out the numbers 548, 102, 164, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.