GCD of 560, 828, 722, 682 Calculator

Given Input numbers are 560, 828, 722, 682

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (560, 828, 722, 682) = 2.

Given numbers are 560, 828, 722, 682

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Prime factors of 722 are 2 x 19 x 19

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 560, 828, 722, 682 is 2.

Given numbers are 560, 828, 722, 682

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

Apply this formula for all numbers.

Step1:

LCM(560, 828) = 115920

GCD(560, 828) = ( 560 x 828 ) / 115920

= 560 / 828

= 560

Step2:

LCM(4, 722) = 1444

GCD(4, 722) = ( 4 x 722 ) / 1444

= 4 / 722

= 4

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 560, 828, 722, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 344, 116, 529
• GCD of 482, 908, 595, 958
• GCD of 211, 992, 613, 221
• GCD of 124, 900, 656, 256
• GCD of 428, 879, 947, 465

Given numbers are 560, 828, 722, 682
The greatest common divisor of numbers 560, 828, 722, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 828, 722, 682 is 2.

1. What is the GCD of 560, 828, 722, 682?

GCD of given numbers 560, 828, 722, 682 is 2

2. How to calculate the greatest common divisor of 560, 828, 722, 682?

We can find the highest common divisor of 560, 828, 722, 682 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 560, 828, 722, 682 i.e 2.

3. How can I use the GCD of 560, 828, 722, 682Calculator?

Out the numbers 560, 828, 722, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.