GCD of 768, 680, 759, 825 Calculator

Given Input numbers are 768, 680, 759, 825

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (768, 680, 759, 825) = 1.

Given numbers are 768, 680, 759, 825

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 759 are 3 x 11 x 23

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 768, 680, 759, 825

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

Apply this formula for all numbers.

Step1:

LCM(768, 680) = 65280

GCD(768, 680) = ( 768 x 680 ) / 65280

= 768 / 680

= 768

Step2:

LCM(8, 759) = 6072

GCD(8, 759) = ( 8 x 759 ) / 6072

= 8 / 759

= 8

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 768, 680, 759, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 867, 697, 264
• GCD of 269, 293, 358, 647
• GCD of 707, 172, 114, 894
• GCD of 811, 129, 801, 873
• GCD of 642, 640, 907, 528

Given numbers are 768, 680, 759, 825
The greatest common divisor of numbers 768, 680, 759, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 680, 759, 825 is 1.

1. What is the GCD of 768, 680, 759, 825?

GCD of given numbers 768, 680, 759, 825 is 1

2. How to calculate the greatest common divisor of 768, 680, 759, 825?

We can find the highest common divisor of 768, 680, 759, 825 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 768, 680, 759, 825 i.e 1.

3. How can I use the GCD of 768, 680, 759, 825Calculator?

Out the numbers 768, 680, 759, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.