GCD of 828, 536, 562, 842 Calculator

Given Input numbers are 828, 536, 562, 842

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

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 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (828, 536, 562, 842) = 2.

Given numbers are 828, 536, 562, 842

The list of prime factors of all numbers are

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

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 562 are 2 x 281

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 828, 536, 562, 842 is 2.

Given numbers are 828, 536, 562, 842

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

Apply this formula for all numbers.

Step1:

LCM(828, 536) = 110952

GCD(828, 536) = ( 828 x 536 ) / 110952

= 828 / 536

= 828

Step2:

LCM(4, 562) = 1124

GCD(4, 562) = ( 4 x 562 ) / 1124

= 4 / 562

= 4

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 828, 536, 562, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 435, 972, 204
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Given numbers are 828, 536, 562, 842
The greatest common divisor of numbers 828, 536, 562, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 536, 562, 842 is 2.

1. What is the GCD of 828, 536, 562, 842?

GCD of given numbers 828, 536, 562, 842 is 2

2. How to calculate the greatest common divisor of 828, 536, 562, 842?

We can find the highest common divisor of 828, 536, 562, 842 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 828, 536, 562, 842 i.e 2.

3. How can I use the GCD of 828, 536, 562, 842Calculator?

Out the numbers 828, 536, 562, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.