GCD of 534, 382, 560, 408 Calculator

Given Input numbers are 534, 382, 560, 408

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 (534, 382, 560, 408) = 2.

Given numbers are 534, 382, 560, 408

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 382 are 2 x 191

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 534, 382, 560, 408 is 2.

Given numbers are 534, 382, 560, 408

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

Apply this formula for all numbers.

Step1:

LCM(534, 382) = 101994

GCD(534, 382) = ( 534 x 382 ) / 101994

= 534 / 382

= 534

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 408) = 408

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

= 2 / 408

= 2

So, Greatest Common Divisor of 534, 382, 560, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 226, 299, 708
• GCD of 699, 530, 275, 244
• GCD of 819, 467, 539, 373
• GCD of 774, 780, 464, 208
• GCD of 173, 869, 945, 199

Given numbers are 534, 382, 560, 408
The greatest common divisor of numbers 534, 382, 560, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 382, 560, 408 is 2.

1. What is the GCD of 534, 382, 560, 408?

GCD of given numbers 534, 382, 560, 408 is 2

2. How to calculate the greatest common divisor of 534, 382, 560, 408?

We can find the highest common divisor of 534, 382, 560, 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 534, 382, 560, 408 i.e 2.

3. How can I use the GCD of 534, 382, 560, 408Calculator?

Out the numbers 534, 382, 560, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.