GCD of 536, 358, 984, 408 Calculator

Given Input numbers are 536, 358, 984, 408

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 358 :

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

1, 2, 179, 358

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (536, 358, 984, 408) = 2.

Given numbers are 536, 358, 984, 408

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 358 are 2 x 179

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 536, 358, 984, 408 is 2.

Given numbers are 536, 358, 984, 408

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

Apply this formula for all numbers.

Step1:

LCM(536, 358) = 95944

GCD(536, 358) = ( 536 x 358 ) / 95944

= 536 / 358

= 536

Step2:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 536, 358, 984, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 226, 894, 453
• GCD of 576, 103, 851, 754
• GCD of 816, 275, 629, 343
• GCD of 977, 295, 590, 405
• GCD of 206, 430, 805, 540

Given numbers are 536, 358, 984, 408
The greatest common divisor of numbers 536, 358, 984, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 358, 984, 408 is 2.

1. What is the GCD of 536, 358, 984, 408?

GCD of given numbers 536, 358, 984, 408 is 2

2. How to calculate the greatest common divisor of 536, 358, 984, 408?

We can find the highest common divisor of 536, 358, 984, 408 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 536, 358, 984, 408 i.e 2.

3. How can I use the GCD of 536, 358, 984, 408Calculator?

Out the numbers 536, 358, 984, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.