GCD of 100, 352, 188, 328 Calculator

Given Input numbers are 100, 352, 188, 328

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

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 188 :

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

1, 2, 4, 47, 94, 188

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (100, 352, 188, 328) = 4.

Given numbers are 100, 352, 188, 328

The list of prime factors of all numbers are

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

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 188 are 2 x 2 x 47

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 100, 352, 188, 328 is 4.

Given numbers are 100, 352, 188, 328

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

Apply this formula for all numbers.

Step1:

LCM(100, 352) = 8800

GCD(100, 352) = ( 100 x 352 ) / 8800

= 100 / 352

= 100

Step2:

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

= 4 / 188

= 4

Step3:

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

= 4 / 328

= 4

So, Greatest Common Divisor of 100, 352, 188, 328 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 685, 300, 167
• GCD of 656, 238, 351, 968
• GCD of 473, 430, 696, 506
• GCD of 994, 130, 884, 552
• GCD of 931, 542, 621, 707

Given numbers are 100, 352, 188, 328
The greatest common divisor of numbers 100, 352, 188, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 352, 188, 328 is 4.

1. What is the GCD of 100, 352, 188, 328?

GCD of given numbers 100, 352, 188, 328 is 4

2. How to calculate the greatest common divisor of 100, 352, 188, 328?

We can find the highest common divisor of 100, 352, 188, 328 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 100, 352, 188, 328 i.e 4.

3. How can I use the GCD of 100, 352, 188, 328Calculator?

Out the numbers 100, 352, 188, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.