GCD of 398, 868, 828, 135 Calculator

Given Input numbers are 398, 868, 828, 135

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (398, 868, 828, 135) = 1.

Given numbers are 398, 868, 828, 135

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 868 are 2 x 2 x 7 x 31

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

Prime factors of 135 are 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 398, 868, 828, 135

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

Apply this formula for all numbers.

Step1:

LCM(398, 868) = 172732

GCD(398, 868) = ( 398 x 868 ) / 172732

= 398 / 868

= 398

Step2:

LCM(2, 828) = 828

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

= 2 / 828

= 2

Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

So, Greatest Common Divisor of 398, 868, 828, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 910, 195, 211
• GCD of 766, 372, 160, 442
• GCD of 910, 905, 887, 549
• GCD of 169, 373, 991, 757
• GCD of 405, 925, 206, 810

Given numbers are 398, 868, 828, 135
The greatest common divisor of numbers 398, 868, 828, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 868, 828, 135 is 1.

1. What is the GCD of 398, 868, 828, 135?

GCD of given numbers 398, 868, 828, 135 is 1

2. How to calculate the greatest common divisor of 398, 868, 828, 135?

We can find the highest common divisor of 398, 868, 828, 135 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 398, 868, 828, 135 i.e 1.

3. How can I use the GCD of 398, 868, 828, 135Calculator?

Out the numbers 398, 868, 828, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.