GCD of 800, 794, 814, 957 Calculator

Given Input numbers are 800, 794, 814, 957

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 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

GCD of numbers is the greatest common divisor

So, the GCD (800, 794, 814, 957) = 1.

Given numbers are 800, 794, 814, 957

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 794 are 2 x 397

Prime factors of 814 are 2 x 11 x 37

Prime factors of 957 are 3 x 11 x 29

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

Given numbers are 800, 794, 814, 957

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

Apply this formula for all numbers.

Step1:

LCM(800, 794) = 317600

GCD(800, 794) = ( 800 x 794 ) / 317600

= 800 / 794

= 800

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

Step3:

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

= 2 / 957

= 2

So, Greatest Common Divisor of 800, 794, 814, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 655, 312, 652
• GCD of 827, 120, 522, 429
• GCD of 508, 374, 446, 343
• GCD of 342, 874, 800, 942
• GCD of 298, 171, 943, 511

Given numbers are 800, 794, 814, 957
The greatest common divisor of numbers 800, 794, 814, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 794, 814, 957 is 1.

1. What is the GCD of 800, 794, 814, 957?

GCD of given numbers 800, 794, 814, 957 is 1

2. How to calculate the greatest common divisor of 800, 794, 814, 957?

We can find the highest common divisor of 800, 794, 814, 957 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, 794, 814, 957 i.e 1.

3. How can I use the GCD of 800, 794, 814, 957Calculator?

Out the numbers 800, 794, 814, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.