GCD of 271, 362, 800, 696 Calculator

Given Input numbers are 271, 362, 800, 696

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

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (271, 362, 800, 696) = 1.

Given numbers are 271, 362, 800, 696

The list of prime factors of all numbers are

Prime factors of 271 are 271

Prime factors of 362 are 2 x 181

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Given numbers are 271, 362, 800, 696

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

Apply this formula for all numbers.

Step1:

LCM(271, 362) = 98102

GCD(271, 362) = ( 271 x 362 ) / 98102

= 271 / 362

= 271

Step2:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

Step3:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1

So, Greatest Common Divisor of 271, 362, 800, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 278, 239, 950
• GCD of 421, 578, 113, 953
• GCD of 309, 242, 274, 659
• GCD of 628, 107, 498, 880
• GCD of 306, 691, 439, 118

Given numbers are 271, 362, 800, 696
The greatest common divisor of numbers 271, 362, 800, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 362, 800, 696 is 1.

1. What is the GCD of 271, 362, 800, 696?

GCD of given numbers 271, 362, 800, 696 is 1

2. How to calculate the greatest common divisor of 271, 362, 800, 696?

We can find the highest common divisor of 271, 362, 800, 696 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 271, 362, 800, 696 i.e 1.

3. How can I use the GCD of 271, 362, 800, 696Calculator?

Out the numbers 271, 362, 800, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.