GCD of 800, 961, 802, 209 Calculator

Given Input numbers are 800, 961, 802, 209

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (800, 961, 802, 209) = 1.

Given numbers are 800, 961, 802, 209

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 961 are 31 x 31

Prime factors of 802 are 2 x 401

Prime factors of 209 are 11 x 19

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

Given numbers are 800, 961, 802, 209

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

Apply this formula for all numbers.

Step1:

LCM(800, 961) = 768800

GCD(800, 961) = ( 800 x 961 ) / 768800

= 800 / 961

= 800

Step2:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

Step3:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

So, Greatest Common Divisor of 800, 961, 802, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 870, 465, 878
• GCD of 338, 573, 651, 326
• GCD of 631, 244, 475, 936
• GCD of 433, 380, 209, 871
• GCD of 655, 701, 384, 501

Given numbers are 800, 961, 802, 209
The greatest common divisor of numbers 800, 961, 802, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 961, 802, 209 is 1.

1. What is the GCD of 800, 961, 802, 209?

GCD of given numbers 800, 961, 802, 209 is 1

2. How to calculate the greatest common divisor of 800, 961, 802, 209?

We can find the highest common divisor of 800, 961, 802, 209 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, 961, 802, 209 i.e 1.

3. How can I use the GCD of 800, 961, 802, 209Calculator?

Out the numbers 800, 961, 802, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.