GCD of 355, 825, 289, 506 Calculator

Given Input numbers are 355, 825, 289, 506

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (355, 825, 289, 506) = 1.

Given numbers are 355, 825, 289, 506

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

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

Prime factors of 289 are 17 x 17

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 355, 825, 289, 506

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

Apply this formula for all numbers.

Step1:

LCM(355, 825) = 58575

GCD(355, 825) = ( 355 x 825 ) / 58575

= 355 / 825

= 355

Step2:

LCM(5, 289) = 1445

GCD(5, 289) = ( 5 x 289 ) / 1445

= 5 / 289

= 5

Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

So, Greatest Common Divisor of 355, 825, 289, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 460, 541, 842
• GCD of 557, 130, 849, 853
• GCD of 641, 672, 510, 909
• GCD of 445, 321, 306, 724
• GCD of 816, 753, 977, 369

Given numbers are 355, 825, 289, 506
The greatest common divisor of numbers 355, 825, 289, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 825, 289, 506 is 1.

1. What is the GCD of 355, 825, 289, 506?

GCD of given numbers 355, 825, 289, 506 is 1

2. How to calculate the greatest common divisor of 355, 825, 289, 506?

We can find the highest common divisor of 355, 825, 289, 506 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 355, 825, 289, 506 i.e 1.

3. How can I use the GCD of 355, 825, 289, 506Calculator?

Out the numbers 355, 825, 289, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.