GCD of 828, 882, 838, 848 Calculator

Given Input numbers are 828, 882, 838, 848

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (828, 882, 838, 848) = 2.

Given numbers are 828, 882, 838, 848

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 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 838 are 2 x 419

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 828, 882, 838, 848 is 2.

Given numbers are 828, 882, 838, 848

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

Apply this formula for all numbers.

Step1:

LCM(828, 882) = 40572

GCD(828, 882) = ( 828 x 882 ) / 40572

= 828 / 882

= 828

Step2:

LCM(18, 838) = 7542

GCD(18, 838) = ( 18 x 838 ) / 7542

= 18 / 838

= 18

Step3:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

So, Greatest Common Divisor of 828, 882, 838, 848 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 789, 823, 810
• GCD of 462, 682, 368, 277
• GCD of 641, 640, 973, 177
• GCD of 583, 586, 130, 707
• GCD of 283, 709, 928, 196

Given numbers are 828, 882, 838, 848
The greatest common divisor of numbers 828, 882, 838, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 882, 838, 848 is 2.

1. What is the GCD of 828, 882, 838, 848?

GCD of given numbers 828, 882, 838, 848 is 2

2. How to calculate the greatest common divisor of 828, 882, 838, 848?

We can find the highest common divisor of 828, 882, 838, 848 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, 882, 838, 848 i.e 2.

3. How can I use the GCD of 828, 882, 838, 848Calculator?

Out the numbers 828, 882, 838, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.