GCD of 324, 538, 692, 902 Calculator

Given Input numbers are 324, 538, 692, 902

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (324, 538, 692, 902) = 2.

Given numbers are 324, 538, 692, 902

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 538 are 2 x 269

Prime factors of 692 are 2 x 2 x 173

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 2¹

Therefore, GCD of 324, 538, 692, 902 is 2.

Given numbers are 324, 538, 692, 902

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

Apply this formula for all numbers.

Step1:

LCM(324, 538) = 87156

GCD(324, 538) = ( 324 x 538 ) / 87156

= 324 / 538

= 324

Step2:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

Step3:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2

So, Greatest Common Divisor of 324, 538, 692, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 837, 296, 476
• GCD of 167, 322, 297, 284
• GCD of 522, 842, 388, 366
• GCD of 365, 867, 734, 465
• GCD of 429, 482, 714, 878

Given numbers are 324, 538, 692, 902
The greatest common divisor of numbers 324, 538, 692, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 538, 692, 902 is 2.

1. What is the GCD of 324, 538, 692, 902?

GCD of given numbers 324, 538, 692, 902 is 2

2. How to calculate the greatest common divisor of 324, 538, 692, 902?

We can find the highest common divisor of 324, 538, 692, 902 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 324, 538, 692, 902 i.e 2.

3. How can I use the GCD of 324, 538, 692, 902Calculator?

Out the numbers 324, 538, 692, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.