GCD of 769, 156, 729, 360 Calculator

Given Input numbers are 769, 156, 729, 360

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

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (769, 156, 729, 360) = 1.

Given numbers are 769, 156, 729, 360

The list of prime factors of all numbers are

Prime factors of 769 are 769

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 769, 156, 729, 360

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

Apply this formula for all numbers.

Step1:

LCM(769, 156) = 119964

GCD(769, 156) = ( 769 x 156 ) / 119964

= 769 / 156

= 769

Step2:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 769, 156, 729, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 339, 465, 242
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• GCD of 756, 557, 759, 649
• GCD of 743, 256, 786, 504
• GCD of 665, 581, 341, 659

Given numbers are 769, 156, 729, 360
The greatest common divisor of numbers 769, 156, 729, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 769, 156, 729, 360 is 1.

1. What is the GCD of 769, 156, 729, 360?

GCD of given numbers 769, 156, 729, 360 is 1

2. How to calculate the greatest common divisor of 769, 156, 729, 360?

We can find the highest common divisor of 769, 156, 729, 360 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 769, 156, 729, 360 i.e 1.

3. How can I use the GCD of 769, 156, 729, 360Calculator?

Out the numbers 769, 156, 729, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.