GCD of 828, 488, 872, 962 Calculator

Given Input numbers are 828, 488, 872, 962

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 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (828, 488, 872, 962) = 2.

Given numbers are 828, 488, 872, 962

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 488 are 2 x 2 x 2 x 61

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 962 are 2 x 13 x 37

The highest common occurrence is 2¹

Therefore, GCD of 828, 488, 872, 962 is 2.

Given numbers are 828, 488, 872, 962

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

Apply this formula for all numbers.

Step1:

LCM(828, 488) = 101016

GCD(828, 488) = ( 828 x 488 ) / 101016

= 828 / 488

= 828

Step2:

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

= 4 / 872

= 4

Step3:

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

= 4 / 962

= 4

So, Greatest Common Divisor of 828, 488, 872, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 811, 401, 151
• GCD of 658, 611, 556, 454
• GCD of 674, 135, 841, 350
• GCD of 492, 479, 433, 913
• GCD of 763, 931, 171, 202

Given numbers are 828, 488, 872, 962
The greatest common divisor of numbers 828, 488, 872, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 488, 872, 962 is 2.

1. What is the GCD of 828, 488, 872, 962?

GCD of given numbers 828, 488, 872, 962 is 2

2. How to calculate the greatest common divisor of 828, 488, 872, 962?

We can find the highest common divisor of 828, 488, 872, 962 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, 488, 872, 962 i.e 2.

3. How can I use the GCD of 828, 488, 872, 962Calculator?

Out the numbers 828, 488, 872, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.