GCD of 852, 398, 508, 388 Calculator

Given Input numbers are 852, 398, 508, 388

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

GCD of numbers is the greatest common divisor

So, the GCD (852, 398, 508, 388) = 2.

Given numbers are 852, 398, 508, 388

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 398 are 2 x 199

Prime factors of 508 are 2 x 2 x 127

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 852, 398, 508, 388 is 2.

Given numbers are 852, 398, 508, 388

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

Apply this formula for all numbers.

Step1:

LCM(852, 398) = 169548

GCD(852, 398) = ( 852 x 398 ) / 169548

= 852 / 398

= 852

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

So, Greatest Common Divisor of 852, 398, 508, 388 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 120, 693, 379
• GCD of 336, 201, 487, 507
• GCD of 808, 943, 224, 200
• GCD of 348, 595, 896, 523
• GCD of 748, 716, 328, 171

Given numbers are 852, 398, 508, 388
The greatest common divisor of numbers 852, 398, 508, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 398, 508, 388 is 2.

1. What is the GCD of 852, 398, 508, 388?

GCD of given numbers 852, 398, 508, 388 is 2

2. How to calculate the greatest common divisor of 852, 398, 508, 388?

We can find the highest common divisor of 852, 398, 508, 388 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 852, 398, 508, 388 i.e 2.

3. How can I use the GCD of 852, 398, 508, 388Calculator?

Out the numbers 852, 398, 508, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.