GCD of 800, 954, 794, 468 Calculator

Given Input numbers are 800, 954, 794, 468

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 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 794 :

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

1, 2, 397, 794

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (800, 954, 794, 468) = 2.

Given numbers are 800, 954, 794, 468

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 954 are 2 x 3 x 3 x 53

Prime factors of 794 are 2 x 397

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 800, 954, 794, 468 is 2.

Given numbers are 800, 954, 794, 468

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

Apply this formula for all numbers.

Step1:

LCM(800, 954) = 381600

GCD(800, 954) = ( 800 x 954 ) / 381600

= 800 / 954

= 800

Step2:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 800, 954, 794, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 728, 215, 159
• GCD of 489, 761, 952, 906
• GCD of 184, 101, 417, 243
• GCD of 804, 959, 355, 894
• GCD of 761, 715, 130, 533

Given numbers are 800, 954, 794, 468
The greatest common divisor of numbers 800, 954, 794, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 954, 794, 468 is 2.

1. What is the GCD of 800, 954, 794, 468?

GCD of given numbers 800, 954, 794, 468 is 2

2. How to calculate the greatest common divisor of 800, 954, 794, 468?

We can find the highest common divisor of 800, 954, 794, 468 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, 954, 794, 468 i.e 2.

3. How can I use the GCD of 800, 954, 794, 468Calculator?

Out the numbers 800, 954, 794, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.