GCD of 825, 317, 51, 269 Calculator

Given Input numbers are 825, 317, 51, 269

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

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 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (825, 317, 51, 269) = 1.

Given numbers are 825, 317, 51, 269

The list of prime factors of all numbers are

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

Prime factors of 317 are 317

Prime factors of 51 are 3 x 17

Prime factors of 269 are 269

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

Given numbers are 825, 317, 51, 269

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

Apply this formula for all numbers.

Step1:

LCM(825, 317) = 261525

GCD(825, 317) = ( 825 x 317 ) / 261525

= 825 / 317

= 825

Step2:

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

= 1 / 51

= 1

Step3:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

So, Greatest Common Divisor of 825, 317, 51, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 316, 83, 622
• GCD of 464, 127, 87, 585
• GCD of 549, 242, 88, 454
• GCD of 181, 921, 36, 852
• GCD of 291, 417, 63, 591

Given numbers are 825, 317, 51, 269
The greatest common divisor of numbers 825, 317, 51, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 317, 51, 269 is 1.

1. What is the GCD of 825, 317, 51, 269?

GCD of given numbers 825, 317, 51, 269 is 1

2. How to calculate the greatest common divisor of 825, 317, 51, 269?

We can find the highest common divisor of 825, 317, 51, 269 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 825, 317, 51, 269 i.e 1.

3. How can I use the GCD of 825, 317, 51, 269Calculator?

Out the numbers 825, 317, 51, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.