GCD of 378, 928, 822, 524 Calculator

Given Input numbers are 378, 928, 822, 524

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

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (378, 928, 822, 524) = 2.

Given numbers are 378, 928, 822, 524

The list of prime factors of all numbers are

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

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 822 are 2 x 3 x 137

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 378, 928, 822, 524 is 2.

Given numbers are 378, 928, 822, 524

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

Apply this formula for all numbers.

Step1:

LCM(378, 928) = 175392

GCD(378, 928) = ( 378 x 928 ) / 175392

= 378 / 928

= 378

Step2:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 378, 928, 822, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 220, 171, 861
• GCD of 905, 158, 547, 615
• GCD of 424, 851, 403, 504
• GCD of 599, 416, 162, 143
• GCD of 276, 144, 616, 937

Given numbers are 378, 928, 822, 524
The greatest common divisor of numbers 378, 928, 822, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 928, 822, 524 is 2.

1. What is the GCD of 378, 928, 822, 524?

GCD of given numbers 378, 928, 822, 524 is 2

2. How to calculate the greatest common divisor of 378, 928, 822, 524?

We can find the highest common divisor of 378, 928, 822, 524 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 378, 928, 822, 524 i.e 2.

3. How can I use the GCD of 378, 928, 822, 524Calculator?

Out the numbers 378, 928, 822, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.