GCD of 159, 474, 699, 828 Calculator

Given Input numbers are 159, 474, 699, 828

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

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 (159, 474, 699, 828) = 3.

Given numbers are 159, 474, 699, 828

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 474 are 2 x 3 x 79

Prime factors of 699 are 3 x 233

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

The highest common occurrence is 3¹

Therefore, GCD of 159, 474, 699, 828 is 3.

Given numbers are 159, 474, 699, 828

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

Apply this formula for all numbers.

Step1:

LCM(159, 474) = 25122

GCD(159, 474) = ( 159 x 474 ) / 25122

= 159 / 474

= 159

Step2:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

So, Greatest Common Divisor of 159, 474, 699, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 572, 131, 491
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Given numbers are 159, 474, 699, 828
The greatest common divisor of numbers 159, 474, 699, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 474, 699, 828 is 3.

1. What is the GCD of 159, 474, 699, 828?

GCD of given numbers 159, 474, 699, 828 is 3

2. How to calculate the greatest common divisor of 159, 474, 699, 828?

We can find the highest common divisor of 159, 474, 699, 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 159, 474, 699, 828 i.e 3.

3. How can I use the GCD of 159, 474, 699, 828Calculator?

Out the numbers 159, 474, 699, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.