GCD of 680, 764, 576, 102 Calculator

Given Input numbers are 680, 764, 576, 102

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (680, 764, 576, 102) = 2.

Given numbers are 680, 764, 576, 102

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 764 are 2 x 2 x 191

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 680, 764, 576, 102 is 2.

Given numbers are 680, 764, 576, 102

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

Apply this formula for all numbers.

Step1:

LCM(680, 764) = 129880

GCD(680, 764) = ( 680 x 764 ) / 129880

= 680 / 764

= 680

Step2:

LCM(4, 576) = 576

GCD(4, 576) = ( 4 x 576 ) / 576

= 4 / 576

= 4

Step3:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

So, Greatest Common Divisor of 680, 764, 576, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 825, 460, 711
• GCD of 691, 985, 327, 406
• GCD of 367, 637, 737, 565
• GCD of 805, 392, 459, 603
• GCD of 757, 147, 667, 280

Given numbers are 680, 764, 576, 102
The greatest common divisor of numbers 680, 764, 576, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 764, 576, 102 is 2.

1. What is the GCD of 680, 764, 576, 102?

GCD of given numbers 680, 764, 576, 102 is 2

2. How to calculate the greatest common divisor of 680, 764, 576, 102?

We can find the highest common divisor of 680, 764, 576, 102 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, 764, 576, 102 i.e 2.

3. How can I use the GCD of 680, 764, 576, 102Calculator?

Out the numbers 680, 764, 576, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.