GCD of 800, 542, 514, 322 Calculator

Given Input numbers are 800, 542, 514, 322

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (800, 542, 514, 322) = 2.

Given numbers are 800, 542, 514, 322

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 542 are 2 x 271

Prime factors of 514 are 2 x 257

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 800, 542, 514, 322 is 2.

Given numbers are 800, 542, 514, 322

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

Apply this formula for all numbers.

Step1:

LCM(800, 542) = 216800

GCD(800, 542) = ( 800 x 542 ) / 216800

= 800 / 542

= 800

Step2:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

Step3:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 800, 542, 514, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 523, 874, 772
• GCD of 281, 448, 361, 396
• GCD of 605, 121, 100, 848
• GCD of 801, 572, 112, 531
• GCD of 802, 839, 231, 789

Given numbers are 800, 542, 514, 322
The greatest common divisor of numbers 800, 542, 514, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 542, 514, 322 is 2.

1. What is the GCD of 800, 542, 514, 322?

GCD of given numbers 800, 542, 514, 322 is 2

2. How to calculate the greatest common divisor of 800, 542, 514, 322?

We can find the highest common divisor of 800, 542, 514, 322 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 800, 542, 514, 322 i.e 2.

3. How can I use the GCD of 800, 542, 514, 322Calculator?

Out the numbers 800, 542, 514, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.