GCD of 768, 756, 707, 765 Calculator

Given Input numbers are 768, 756, 707, 765

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (768, 756, 707, 765) = 1.

Given numbers are 768, 756, 707, 765

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 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 707 are 7 x 101

Prime factors of 765 are 3 x 3 x 5 x 17

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

Given numbers are 768, 756, 707, 765

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

Apply this formula for all numbers.

Step1:

LCM(768, 756) = 48384

GCD(768, 756) = ( 768 x 756 ) / 48384

= 768 / 756

= 768

Step2:

LCM(12, 707) = 8484

GCD(12, 707) = ( 12 x 707 ) / 8484

= 12 / 707

= 12

Step3:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1

So, Greatest Common Divisor of 768, 756, 707, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 679, 278, 698
• GCD of 312, 832, 381, 603
• GCD of 267, 909, 879, 374
• GCD of 914, 768, 370, 608
• GCD of 845, 513, 345, 341

Given numbers are 768, 756, 707, 765
The greatest common divisor of numbers 768, 756, 707, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 756, 707, 765 is 1.

1. What is the GCD of 768, 756, 707, 765?

GCD of given numbers 768, 756, 707, 765 is 1

2. How to calculate the greatest common divisor of 768, 756, 707, 765?

We can find the highest common divisor of 768, 756, 707, 765 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, 756, 707, 765 i.e 1.

3. How can I use the GCD of 768, 756, 707, 765Calculator?

Out the numbers 768, 756, 707, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.