GCD of 289, 316, 704, 825 Calculator

Given Input numbers are 289, 316, 704, 825

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

Divisors of 289 :

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

1, 17, 289

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

GCD of numbers is the greatest common divisor

So, the GCD (289, 316, 704, 825) = 1.

Given numbers are 289, 316, 704, 825

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 316 are 2 x 2 x 79

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

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

Given numbers are 289, 316, 704, 825

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

Apply this formula for all numbers.

Step1:

LCM(289, 316) = 91324

GCD(289, 316) = ( 289 x 316 ) / 91324

= 289 / 316

= 289

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 289, 316, 704, 825 is 1

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Given numbers are 289, 316, 704, 825
The greatest common divisor of numbers 289, 316, 704, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 316, 704, 825 is 1.

1. What is the GCD of 289, 316, 704, 825?

GCD of given numbers 289, 316, 704, 825 is 1

2. How to calculate the greatest common divisor of 289, 316, 704, 825?

We can find the highest common divisor of 289, 316, 704, 825 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 289, 316, 704, 825 i.e 1.

3. How can I use the GCD of 289, 316, 704, 825Calculator?

Out the numbers 289, 316, 704, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.