GCD of 272, 876, 828, 558 Calculator

Given Input numbers are 272, 876, 828, 558

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (272, 876, 828, 558) = 2.

Given numbers are 272, 876, 828, 558

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 876 are 2 x 2 x 3 x 73

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

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 272, 876, 828, 558 is 2.

Given numbers are 272, 876, 828, 558

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

Apply this formula for all numbers.

Step1:

LCM(272, 876) = 59568

GCD(272, 876) = ( 272 x 876 ) / 59568

= 272 / 876

= 272

Step2:

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

= 4 / 828

= 4

Step3:

LCM(4, 558) = 1116

GCD(4, 558) = ( 4 x 558 ) / 1116

= 4 / 558

= 4

So, Greatest Common Divisor of 272, 876, 828, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 618, 386, 164
• GCD of 699, 827, 201, 132
• GCD of 713, 280, 929, 201
• GCD of 288, 256, 504, 198
• GCD of 104, 944, 405, 413

Given numbers are 272, 876, 828, 558
The greatest common divisor of numbers 272, 876, 828, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 876, 828, 558 is 2.

1. What is the GCD of 272, 876, 828, 558?

GCD of given numbers 272, 876, 828, 558 is 2

2. How to calculate the greatest common divisor of 272, 876, 828, 558?

We can find the highest common divisor of 272, 876, 828, 558 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 272, 876, 828, 558 i.e 2.

3. How can I use the GCD of 272, 876, 828, 558Calculator?

Out the numbers 272, 876, 828, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.