GCD of 825, 210, 363, 402 Calculator

Given Input numbers are 825, 210, 363, 402

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

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (825, 210, 363, 402) = 3.

Given numbers are 825, 210, 363, 402

The list of prime factors of all numbers are

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

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 363 are 3 x 11 x 11

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 825, 210, 363, 402 is 3.

Given numbers are 825, 210, 363, 402

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

Apply this formula for all numbers.

Step1:

LCM(825, 210) = 11550

GCD(825, 210) = ( 825 x 210 ) / 11550

= 825 / 210

= 825

Step2:

LCM(15, 363) = 1815

GCD(15, 363) = ( 15 x 363 ) / 1815

= 15 / 363

= 15

Step3:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 825, 210, 363, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 203, 390, 956
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• GCD of 844, 989, 735, 284

Given numbers are 825, 210, 363, 402
The greatest common divisor of numbers 825, 210, 363, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 210, 363, 402 is 3.

1. What is the GCD of 825, 210, 363, 402?

GCD of given numbers 825, 210, 363, 402 is 3

2. How to calculate the greatest common divisor of 825, 210, 363, 402?

We can find the highest common divisor of 825, 210, 363, 402 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 825, 210, 363, 402 i.e 3.

3. How can I use the GCD of 825, 210, 363, 402Calculator?

Out the numbers 825, 210, 363, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.