GCD of 484, 176, 338, 828 Calculator

Given Input numbers are 484, 176, 338, 828

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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

GCD of numbers is the greatest common divisor

So, the GCD (484, 176, 338, 828) = 2.

Given numbers are 484, 176, 338, 828

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 338 are 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 484, 176, 338, 828 is 2.

Given numbers are 484, 176, 338, 828

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

Apply this formula for all numbers.

Step1:

LCM(484, 176) = 1936

GCD(484, 176) = ( 484 x 176 ) / 1936

= 484 / 176

= 484

Step2:

LCM(44, 338) = 7436

GCD(44, 338) = ( 44 x 338 ) / 7436

= 44 / 338

= 44

Step3:

LCM(2, 828) = 828

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

= 2 / 828

= 2

So, Greatest Common Divisor of 484, 176, 338, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 248, 140, 962
• GCD of 207, 524, 941, 432
• GCD of 833, 391, 492, 790
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• GCD of 907, 138, 398, 537

Given numbers are 484, 176, 338, 828
The greatest common divisor of numbers 484, 176, 338, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 176, 338, 828 is 2.

1. What is the GCD of 484, 176, 338, 828?

GCD of given numbers 484, 176, 338, 828 is 2

2. How to calculate the greatest common divisor of 484, 176, 338, 828?

We can find the highest common divisor of 484, 176, 338, 828 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 484, 176, 338, 828 i.e 2.

3. How can I use the GCD of 484, 176, 338, 828Calculator?

Out the numbers 484, 176, 338, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.