GCD of 680, 870, 520, 728 Calculator

Given Input numbers are 680, 870, 520, 728

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (680, 870, 520, 728) = 2.

Given numbers are 680, 870, 520, 728

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 680, 870, 520, 728 is 2.

Given numbers are 680, 870, 520, 728

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

Apply this formula for all numbers.

Step1:

LCM(680, 870) = 59160

GCD(680, 870) = ( 680 x 870 ) / 59160

= 680 / 870

= 680

Step2:

LCM(10, 520) = 520

GCD(10, 520) = ( 10 x 520 ) / 520

= 10 / 520

= 10

Step3:

LCM(10, 728) = 3640

GCD(10, 728) = ( 10 x 728 ) / 3640

= 10 / 728

= 10

So, Greatest Common Divisor of 680, 870, 520, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 512, 942, 834
• GCD of 516, 576, 403, 254
• GCD of 270, 441, 411, 813
• GCD of 403, 168, 473, 413
• GCD of 170, 110, 676, 387

Given numbers are 680, 870, 520, 728
The greatest common divisor of numbers 680, 870, 520, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 870, 520, 728 is 2.

1. What is the GCD of 680, 870, 520, 728?

GCD of given numbers 680, 870, 520, 728 is 2

2. How to calculate the greatest common divisor of 680, 870, 520, 728?

We can find the highest common divisor of 680, 870, 520, 728 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 680, 870, 520, 728 i.e 2.

3. How can I use the GCD of 680, 870, 520, 728Calculator?

Out the numbers 680, 870, 520, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.