GCD of 680, 766, 582, 280 Calculator

Given Input numbers are 680, 766, 582, 280

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (680, 766, 582, 280) = 2.

Given numbers are 680, 766, 582, 280

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 766 are 2 x 383

Prime factors of 582 are 2 x 3 x 97

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 680, 766, 582, 280 is 2.

Given numbers are 680, 766, 582, 280

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

Apply this formula for all numbers.

Step1:

LCM(680, 766) = 260440

GCD(680, 766) = ( 680 x 766 ) / 260440

= 680 / 766

= 680

Step2:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 680, 766, 582, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 342, 383, 223
• GCD of 903, 312, 713, 295
• GCD of 591, 201, 644, 959
• GCD of 317, 847, 592, 389
• GCD of 751, 710, 482, 414

Given numbers are 680, 766, 582, 280
The greatest common divisor of numbers 680, 766, 582, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 766, 582, 280 is 2.

1. What is the GCD of 680, 766, 582, 280?

GCD of given numbers 680, 766, 582, 280 is 2

2. How to calculate the greatest common divisor of 680, 766, 582, 280?

We can find the highest common divisor of 680, 766, 582, 280 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, 766, 582, 280 i.e 2.

3. How can I use the GCD of 680, 766, 582, 280Calculator?

Out the numbers 680, 766, 582, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.