GCD of 735, 825, 821, 522 Calculator

Given Input numbers are 735, 825, 821, 522

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

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 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 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (735, 825, 821, 522) = 1.

Given numbers are 735, 825, 821, 522

The list of prime factors of all numbers are

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

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

Prime factors of 821 are 821

Prime factors of 522 are 2 x 3 x 3 x 29

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

Given numbers are 735, 825, 821, 522

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

Apply this formula for all numbers.

Step1:

LCM(735, 825) = 40425

GCD(735, 825) = ( 735 x 825 ) / 40425

= 735 / 825

= 735

Step2:

LCM(15, 821) = 12315

GCD(15, 821) = ( 15 x 821 ) / 12315

= 15 / 821

= 15

Step3:

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

= 1 / 522

= 1

So, Greatest Common Divisor of 735, 825, 821, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 255, 273, 194
• GCD of 609, 407, 275, 502
• GCD of 240, 209, 566, 519
• GCD of 814, 980, 409, 830
• GCD of 942, 281, 871, 691

Given numbers are 735, 825, 821, 522
The greatest common divisor of numbers 735, 825, 821, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 825, 821, 522 is 1.

1. What is the GCD of 735, 825, 821, 522?

GCD of given numbers 735, 825, 821, 522 is 1

2. How to calculate the greatest common divisor of 735, 825, 821, 522?

We can find the highest common divisor of 735, 825, 821, 522 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 735, 825, 821, 522 i.e 1.

3. How can I use the GCD of 735, 825, 821, 522Calculator?

Out the numbers 735, 825, 821, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.