GCD of 392, 456, 584, 536 Calculator

Given Input numbers are 392, 456, 584, 536

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 536 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (392, 456, 584, 536) = 8.

Given numbers are 392, 456, 584, 536

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 584 are 2 x 2 x 2 x 73

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

The highest common occurrence is 2³

Therefore, GCD of 392, 456, 584, 536 is 8.

Given numbers are 392, 456, 584, 536

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

Apply this formula for all numbers.

Step1:

LCM(392, 456) = 22344

GCD(392, 456) = ( 392 x 456 ) / 22344

= 392 / 456

= 392

Step2:

LCM(8, 584) = 584

GCD(8, 584) = ( 8 x 584 ) / 584

= 8 / 584

= 8

Step3:

LCM(8, 536) = 536

GCD(8, 536) = ( 8 x 536 ) / 536

= 8 / 536

= 8

So, Greatest Common Divisor of 392, 456, 584, 536 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 122, 817, 400
• GCD of 169, 865, 669, 169
• GCD of 391, 117, 485, 772
• GCD of 624, 282, 664, 607
• GCD of 529, 666, 871, 600

Given numbers are 392, 456, 584, 536
The greatest common divisor of numbers 392, 456, 584, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 456, 584, 536 is 8.

1. What is the GCD of 392, 456, 584, 536?

GCD of given numbers 392, 456, 584, 536 is 8

2. How to calculate the greatest common divisor of 392, 456, 584, 536?

We can find the highest common divisor of 392, 456, 584, 536 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 392, 456, 584, 536 i.e 8.

3. How can I use the GCD of 392, 456, 584, 536Calculator?

Out the numbers 392, 456, 584, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.