GCD of 424, 730, 524, 828 Calculator

Given Input numbers are 424, 730, 524, 828

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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 (424, 730, 524, 828) = 2.

Given numbers are 424, 730, 524, 828

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 730 are 2 x 5 x 73

Prime factors of 524 are 2 x 2 x 131

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

The highest common occurrence is 2¹

Therefore, GCD of 424, 730, 524, 828 is 2.

Given numbers are 424, 730, 524, 828

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

Apply this formula for all numbers.

Step1:

LCM(424, 730) = 154760

GCD(424, 730) = ( 424 x 730 ) / 154760

= 424 / 730

= 424

Step2:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

Step3:

LCM(2, 828) = 828

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

= 2 / 828

= 2

So, Greatest Common Divisor of 424, 730, 524, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 137, 840, 644
• GCD of 669, 300, 142, 981
• GCD of 798, 163, 371, 370
• GCD of 278, 157, 957, 953
• GCD of 163, 451, 260, 484

Given numbers are 424, 730, 524, 828
The greatest common divisor of numbers 424, 730, 524, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 730, 524, 828 is 2.

1. What is the GCD of 424, 730, 524, 828?

GCD of given numbers 424, 730, 524, 828 is 2

2. How to calculate the greatest common divisor of 424, 730, 524, 828?

We can find the highest common divisor of 424, 730, 524, 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 424, 730, 524, 828 i.e 2.

3. How can I use the GCD of 424, 730, 524, 828Calculator?

Out the numbers 424, 730, 524, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.