GCD of 360, 714, 828, 573 Calculator

Given Input numbers are 360, 714, 828, 573

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

GCD of numbers is the greatest common divisor

So, the GCD (360, 714, 828, 573) = 3.

Given numbers are 360, 714, 828, 573

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

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

Prime factors of 573 are 3 x 191

The highest common occurrence is 3¹

Therefore, GCD of 360, 714, 828, 573 is 3.

Given numbers are 360, 714, 828, 573

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

Apply this formula for all numbers.

Step1:

LCM(360, 714) = 42840

GCD(360, 714) = ( 360 x 714 ) / 42840

= 360 / 714

= 360

Step2:

LCM(6, 828) = 828

GCD(6, 828) = ( 6 x 828 ) / 828

= 6 / 828

= 6

Step3:

LCM(6, 573) = 1146

GCD(6, 573) = ( 6 x 573 ) / 1146

= 6 / 573

= 6

So, Greatest Common Divisor of 360, 714, 828, 573 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 504, 237, 672
• GCD of 128, 203, 342, 622
• GCD of 228, 284, 179, 841
• GCD of 999, 777, 430, 294
• GCD of 439, 690, 357, 318

Given numbers are 360, 714, 828, 573
The greatest common divisor of numbers 360, 714, 828, 573 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 714, 828, 573 is 3.

1. What is the GCD of 360, 714, 828, 573?

GCD of given numbers 360, 714, 828, 573 is 3

2. How to calculate the greatest common divisor of 360, 714, 828, 573?

We can find the highest common divisor of 360, 714, 828, 573 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 360, 714, 828, 573 i.e 3.

3. How can I use the GCD of 360, 714, 828, 573Calculator?

Out the numbers 360, 714, 828, 573 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.