GCD of 764, 825, 728, 253 Calculator

Given Input numbers are 764, 825, 728, 253

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (764, 825, 728, 253) = 1.

Given numbers are 764, 825, 728, 253

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 253 are 11 x 23

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

Given numbers are 764, 825, 728, 253

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

Apply this formula for all numbers.

Step1:

LCM(764, 825) = 630300

GCD(764, 825) = ( 764 x 825 ) / 630300

= 764 / 825

= 764

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 764, 825, 728, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 181, 322, 874
• GCD of 926, 147, 890, 611
• GCD of 337, 912, 497, 531
• GCD of 322, 223, 240, 772
• GCD of 817, 113, 173, 278

Given numbers are 764, 825, 728, 253
The greatest common divisor of numbers 764, 825, 728, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 825, 728, 253 is 1.

1. What is the GCD of 764, 825, 728, 253?

GCD of given numbers 764, 825, 728, 253 is 1

2. How to calculate the greatest common divisor of 764, 825, 728, 253?

We can find the highest common divisor of 764, 825, 728, 253 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 764, 825, 728, 253 i.e 1.

3. How can I use the GCD of 764, 825, 728, 253Calculator?

Out the numbers 764, 825, 728, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.