GCD of 538, 735, 329, 825 Calculator

Given Input numbers are 538, 735, 329, 825

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

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 (538, 735, 329, 825) = 1.

Given numbers are 538, 735, 329, 825

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 329 are 7 x 47

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 538, 735, 329, 825

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

Apply this formula for all numbers.

Step1:

LCM(538, 735) = 395430

GCD(538, 735) = ( 538 x 735 ) / 395430

= 538 / 735

= 538

Step2:

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

= 1 / 329

= 1

Step3:

LCM(1, 825) = 825

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

= 1 / 825

= 1

So, Greatest Common Divisor of 538, 735, 329, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 285, 356, 107
• GCD of 766, 735, 107, 329
• GCD of 707, 164, 817, 814
• GCD of 438, 267, 554, 977
• GCD of 497, 569, 643, 675

Given numbers are 538, 735, 329, 825
The greatest common divisor of numbers 538, 735, 329, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 735, 329, 825 is 1.

1. What is the GCD of 538, 735, 329, 825?

GCD of given numbers 538, 735, 329, 825 is 1

2. How to calculate the greatest common divisor of 538, 735, 329, 825?

We can find the highest common divisor of 538, 735, 329, 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 538, 735, 329, 825 i.e 1.

3. How can I use the GCD of 538, 735, 329, 825Calculator?

Out the numbers 538, 735, 329, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.