GCD of 800, 301, 478, 355 Calculator

Given Input numbers are 800, 301, 478, 355

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 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (800, 301, 478, 355) = 1.

Given numbers are 800, 301, 478, 355

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 301 are 7 x 43

Prime factors of 478 are 2 x 239

Prime factors of 355 are 5 x 71

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

Given numbers are 800, 301, 478, 355

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

Apply this formula for all numbers.

Step1:

LCM(800, 301) = 240800

GCD(800, 301) = ( 800 x 301 ) / 240800

= 800 / 301

= 800

Step2:

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

= 1 / 478

= 1

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 800, 301, 478, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 203, 359, 445
• GCD of 125, 137, 520, 625
• GCD of 464, 969, 185, 515
• GCD of 654, 697, 428, 324
• GCD of 617, 118, 610, 122

Given numbers are 800, 301, 478, 355
The greatest common divisor of numbers 800, 301, 478, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 301, 478, 355 is 1.

1. What is the GCD of 800, 301, 478, 355?

GCD of given numbers 800, 301, 478, 355 is 1

2. How to calculate the greatest common divisor of 800, 301, 478, 355?

We can find the highest common divisor of 800, 301, 478, 355 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, 301, 478, 355 i.e 1.

3. How can I use the GCD of 800, 301, 478, 355Calculator?

Out the numbers 800, 301, 478, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.