GCD of 800, 655, 718, 305 Calculator

Given Input numbers are 800, 655, 718, 305

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 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

GCD of numbers is the greatest common divisor

So, the GCD (800, 655, 718, 305) = 1.

Given numbers are 800, 655, 718, 305

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 655 are 5 x 131

Prime factors of 718 are 2 x 359

Prime factors of 305 are 5 x 61

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

Given numbers are 800, 655, 718, 305

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

Apply this formula for all numbers.

Step1:

LCM(800, 655) = 104800

GCD(800, 655) = ( 800 x 655 ) / 104800

= 800 / 655

= 800

Step2:

LCM(5, 718) = 3590

GCD(5, 718) = ( 5 x 718 ) / 3590

= 5 / 718

= 5

Step3:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

So, Greatest Common Divisor of 800, 655, 718, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 628, 341, 894
• GCD of 197, 882, 156, 296
• GCD of 335, 100, 114, 490
• GCD of 928, 938, 664, 695
• GCD of 397, 739, 109, 308

Given numbers are 800, 655, 718, 305
The greatest common divisor of numbers 800, 655, 718, 305 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 655, 718, 305 is 1.

1. What is the GCD of 800, 655, 718, 305?

GCD of given numbers 800, 655, 718, 305 is 1

2. How to calculate the greatest common divisor of 800, 655, 718, 305?

We can find the highest common divisor of 800, 655, 718, 305 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, 655, 718, 305 i.e 1.

3. How can I use the GCD of 800, 655, 718, 305Calculator?

Out the numbers 800, 655, 718, 305 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.