GCD of 722, 266, 793, 900 Calculator

Given Input numbers are 722, 266, 793, 900

In the factoring method, we have to find the divisors of all numbers

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (722, 266, 793, 900) = 1.

Given numbers are 722, 266, 793, 900

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 266 are 2 x 7 x 19

Prime factors of 793 are 13 x 61

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 722, 266, 793, 900

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

Apply this formula for all numbers.

Step1:

LCM(722, 266) = 5054

GCD(722, 266) = ( 722 x 266 ) / 5054

= 722 / 266

= 722

Step2:

LCM(38, 793) = 30134

GCD(38, 793) = ( 38 x 793 ) / 30134

= 38 / 793

= 38

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 722, 266, 793, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 670, 206, 393
• GCD of 977, 695, 681, 259
• GCD of 709, 258, 384, 370
• GCD of 558, 111, 871, 203
• GCD of 864, 530, 900, 309

Given numbers are 722, 266, 793, 900
The greatest common divisor of numbers 722, 266, 793, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 266, 793, 900 is 1.

1. What is the GCD of 722, 266, 793, 900?

GCD of given numbers 722, 266, 793, 900 is 1

2. How to calculate the greatest common divisor of 722, 266, 793, 900?

We can find the highest common divisor of 722, 266, 793, 900 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 722, 266, 793, 900 i.e 1.

3. How can I use the GCD of 722, 266, 793, 900Calculator?

Out the numbers 722, 266, 793, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.