GCD of 800, 180, 250, 271 Calculator

Given Input numbers are 800, 180, 250, 271

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 271 :

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

1, 271

GCD of numbers is the greatest common divisor

So, the GCD (800, 180, 250, 271) = 1.

Given numbers are 800, 180, 250, 271

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 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 271 are 271

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

Given numbers are 800, 180, 250, 271

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

Apply this formula for all numbers.

Step1:

LCM(800, 180) = 7200

GCD(800, 180) = ( 800 x 180 ) / 7200

= 800 / 180

= 800

Step2:

LCM(20, 250) = 500

GCD(20, 250) = ( 20 x 250 ) / 500

= 20 / 250

= 20

Step3:

LCM(10, 271) = 2710

GCD(10, 271) = ( 10 x 271 ) / 2710

= 10 / 271

= 10

So, Greatest Common Divisor of 800, 180, 250, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 341, 677, 938
• GCD of 364, 908, 877, 263
• GCD of 923, 984, 525, 538
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• GCD of 333, 357, 486, 415

Given numbers are 800, 180, 250, 271
The greatest common divisor of numbers 800, 180, 250, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 180, 250, 271 is 1.

1. What is the GCD of 800, 180, 250, 271?

GCD of given numbers 800, 180, 250, 271 is 1

2. How to calculate the greatest common divisor of 800, 180, 250, 271?

We can find the highest common divisor of 800, 180, 250, 271 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, 180, 250, 271 i.e 1.

3. How can I use the GCD of 800, 180, 250, 271Calculator?

Out the numbers 800, 180, 250, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.