GCD of 358, 672, 228, 506 Calculator

Given Input numbers are 358, 672, 228, 506

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (358, 672, 228, 506) = 2.

Given numbers are 358, 672, 228, 506

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 358, 672, 228, 506 is 2.

Given numbers are 358, 672, 228, 506

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

Apply this formula for all numbers.

Step1:

LCM(358, 672) = 120288

GCD(358, 672) = ( 358 x 672 ) / 120288

= 358 / 672

= 358

Step2:

LCM(2, 228) = 228

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

= 2 / 228

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 358, 672, 228, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 448, 684, 323
• GCD of 795, 116, 869, 555
• GCD of 650, 873, 417, 495
• GCD of 565, 621, 126, 590
• GCD of 785, 193, 176, 363

Given numbers are 358, 672, 228, 506
The greatest common divisor of numbers 358, 672, 228, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 672, 228, 506 is 2.

1. What is the GCD of 358, 672, 228, 506?

GCD of given numbers 358, 672, 228, 506 is 2

2. How to calculate the greatest common divisor of 358, 672, 228, 506?

We can find the highest common divisor of 358, 672, 228, 506 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 358, 672, 228, 506 i.e 2.

3. How can I use the GCD of 358, 672, 228, 506Calculator?

Out the numbers 358, 672, 228, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.