GCD of 100, 552, 222, 228 Calculator

Given Input numbers are 100, 552, 222, 228

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (100, 552, 222, 228) = 2.

Given numbers are 100, 552, 222, 228

The list of prime factors of all numbers are

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

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 222 are 2 x 3 x 37

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 100, 552, 222, 228 is 2.

Given numbers are 100, 552, 222, 228

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

Apply this formula for all numbers.

Step1:

LCM(100, 552) = 13800

GCD(100, 552) = ( 100 x 552 ) / 13800

= 100 / 552

= 100

Step2:

LCM(4, 222) = 444

GCD(4, 222) = ( 4 x 222 ) / 444

= 4 / 222

= 4

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 100, 552, 222, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 966, 248, 308
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• GCD of 854, 898, 777, 806
• GCD of 872, 892, 989, 668

Given numbers are 100, 552, 222, 228
The greatest common divisor of numbers 100, 552, 222, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 552, 222, 228 is 2.

1. What is the GCD of 100, 552, 222, 228?

GCD of given numbers 100, 552, 222, 228 is 2

2. How to calculate the greatest common divisor of 100, 552, 222, 228?

We can find the highest common divisor of 100, 552, 222, 228 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, 552, 222, 228 i.e 2.

3. How can I use the GCD of 100, 552, 222, 228Calculator?

Out the numbers 100, 552, 222, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.