GCD of 800, 208, 538, 929 Calculator

Given Input numbers are 800, 208, 538, 929

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

GCD of numbers is the greatest common divisor

So, the GCD (800, 208, 538, 929) = 1.

Given numbers are 800, 208, 538, 929

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 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 538 are 2 x 269

Prime factors of 929 are 929

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 800, 208, 538, 929

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

Apply this formula for all numbers.

Step1:

LCM(800, 208) = 10400

GCD(800, 208) = ( 800 x 208 ) / 10400

= 800 / 208

= 800

Step2:

LCM(16, 538) = 4304

GCD(16, 538) = ( 16 x 538 ) / 4304

= 16 / 538

= 16

Step3:

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

= 2 / 929

= 2

So, Greatest Common Divisor of 800, 208, 538, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 502, 408, 697
• GCD of 941, 564, 660, 472
• GCD of 135, 617, 562, 194
• GCD of 606, 296, 727, 794
• GCD of 355, 487, 299, 253

Given numbers are 800, 208, 538, 929
The greatest common divisor of numbers 800, 208, 538, 929 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 208, 538, 929 is 1.

1. What is the GCD of 800, 208, 538, 929?

GCD of given numbers 800, 208, 538, 929 is 1

2. How to calculate the greatest common divisor of 800, 208, 538, 929?

We can find the highest common divisor of 800, 208, 538, 929 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, 208, 538, 929 i.e 1.

3. How can I use the GCD of 800, 208, 538, 929Calculator?

Out the numbers 800, 208, 538, 929 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.