GCD of 538, 936, 828, 374 Calculator

Given Input numbers are 538, 936, 828, 374

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (538, 936, 828, 374) = 2.

Given numbers are 538, 936, 828, 374

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 538, 936, 828, 374 is 2.

Given numbers are 538, 936, 828, 374

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

Apply this formula for all numbers.

Step1:

LCM(538, 936) = 251784

GCD(538, 936) = ( 538 x 936 ) / 251784

= 538 / 936

= 538

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 538, 936, 828, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 208, 448, 960
• GCD of 900, 630, 861, 349
• GCD of 977, 317, 212, 297
• GCD of 265, 330, 181, 377
• GCD of 673, 750, 798, 705

Given numbers are 538, 936, 828, 374
The greatest common divisor of numbers 538, 936, 828, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 936, 828, 374 is 2.

1. What is the GCD of 538, 936, 828, 374?

GCD of given numbers 538, 936, 828, 374 is 2

2. How to calculate the greatest common divisor of 538, 936, 828, 374?

We can find the highest common divisor of 538, 936, 828, 374 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, 936, 828, 374 i.e 2.

3. How can I use the GCD of 538, 936, 828, 374Calculator?

Out the numbers 538, 936, 828, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.