GCD of 800, 825, 921, 743 Calculator

Given Input numbers are 800, 825, 921, 743

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (800, 825, 921, 743) = 1.

Given numbers are 800, 825, 921, 743

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 825 are 3 x 5 x 5 x 11

Prime factors of 921 are 3 x 307

Prime factors of 743 are 743

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

Given numbers are 800, 825, 921, 743

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

Apply this formula for all numbers.

Step1:

LCM(800, 825) = 26400

GCD(800, 825) = ( 800 x 825 ) / 26400

= 800 / 825

= 800

Step2:

LCM(25, 921) = 23025

GCD(25, 921) = ( 25 x 921 ) / 23025

= 25 / 921

= 25

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 800, 825, 921, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 989, 973, 301
• GCD of 125, 775, 200, 643
• GCD of 307, 794, 572, 700
• GCD of 670, 899, 214, 567
• GCD of 962, 645, 950, 624

Given numbers are 800, 825, 921, 743
The greatest common divisor of numbers 800, 825, 921, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 825, 921, 743 is 1.

1. What is the GCD of 800, 825, 921, 743?

GCD of given numbers 800, 825, 921, 743 is 1

2. How to calculate the greatest common divisor of 800, 825, 921, 743?

We can find the highest common divisor of 800, 825, 921, 743 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, 825, 921, 743 i.e 1.

3. How can I use the GCD of 800, 825, 921, 743Calculator?

Out the numbers 800, 825, 921, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.