GCD of 538, 378, 892, 600 Calculator

Given Input numbers are 538, 378, 892, 600

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (538, 378, 892, 600) = 2.

Given numbers are 538, 378, 892, 600

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 892 are 2 x 2 x 223

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 538, 378, 892, 600 is 2.

Given numbers are 538, 378, 892, 600

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

Apply this formula for all numbers.

Step1:

LCM(538, 378) = 101682

GCD(538, 378) = ( 538 x 378 ) / 101682

= 538 / 378

= 538

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 538, 378, 892, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 406, 449, 626
• GCD of 798, 826, 312, 432
• GCD of 865, 535, 135, 762
• GCD of 537, 786, 526, 673
• GCD of 483, 234, 159, 587

Given numbers are 538, 378, 892, 600
The greatest common divisor of numbers 538, 378, 892, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 378, 892, 600 is 2.

1. What is the GCD of 538, 378, 892, 600?

GCD of given numbers 538, 378, 892, 600 is 2

2. How to calculate the greatest common divisor of 538, 378, 892, 600?

We can find the highest common divisor of 538, 378, 892, 600 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, 378, 892, 600 i.e 2.

3. How can I use the GCD of 538, 378, 892, 600Calculator?

Out the numbers 538, 378, 892, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.