GCD of 828, 700, 498, 288 Calculator

Given Input numbers are 828, 700, 498, 288

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (828, 700, 498, 288) = 2.

Given numbers are 828, 700, 498, 288

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 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 498 are 2 x 3 x 83

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 828, 700, 498, 288 is 2.

Given numbers are 828, 700, 498, 288

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

Apply this formula for all numbers.

Step1:

LCM(828, 700) = 144900

GCD(828, 700) = ( 828 x 700 ) / 144900

= 828 / 700

= 828

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 828, 700, 498, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 771, 685, 351
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• GCD of 102, 117, 296, 883
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Given numbers are 828, 700, 498, 288
The greatest common divisor of numbers 828, 700, 498, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 700, 498, 288 is 2.

1. What is the GCD of 828, 700, 498, 288?

GCD of given numbers 828, 700, 498, 288 is 2

2. How to calculate the greatest common divisor of 828, 700, 498, 288?

We can find the highest common divisor of 828, 700, 498, 288 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, 700, 498, 288 i.e 2.

3. How can I use the GCD of 828, 700, 498, 288Calculator?

Out the numbers 828, 700, 498, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.