GCD of 697, 399, 338, 825 Calculator

Given Input numbers are 697, 399, 338, 825

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

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 (697, 399, 338, 825) = 1.

Given numbers are 697, 399, 338, 825

The list of prime factors of all numbers are

Prime factors of 697 are 17 x 41

Prime factors of 399 are 3 x 7 x 19

Prime factors of 338 are 2 x 13 x 13

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 697, 399, 338, 825

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

Apply this formula for all numbers.

Step1:

LCM(697, 399) = 278103

GCD(697, 399) = ( 697 x 399 ) / 278103

= 697 / 399

= 697

Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

Step3:

LCM(1, 825) = 825

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

= 1 / 825

= 1

So, Greatest Common Divisor of 697, 399, 338, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 193, 288, 227
• GCD of 650, 273, 306, 375
• GCD of 222, 395, 454, 754
• GCD of 627, 264, 950, 790
• GCD of 142, 578, 524, 374

Given numbers are 697, 399, 338, 825
The greatest common divisor of numbers 697, 399, 338, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 399, 338, 825 is 1.

1. What is the GCD of 697, 399, 338, 825?

GCD of given numbers 697, 399, 338, 825 is 1

2. How to calculate the greatest common divisor of 697, 399, 338, 825?

We can find the highest common divisor of 697, 399, 338, 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 697, 399, 338, 825 i.e 1.

3. How can I use the GCD of 697, 399, 338, 825Calculator?

Out the numbers 697, 399, 338, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.