GCD of 438, 769, 765, 312 Calculator

Given Input numbers are 438, 769, 765, 312

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 769 :

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

1, 769

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (438, 769, 765, 312) = 1.

Given numbers are 438, 769, 765, 312

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 769 are 769

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 438, 769, 765, 312

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

Apply this formula for all numbers.

Step1:

LCM(438, 769) = 336822

GCD(438, 769) = ( 438 x 769 ) / 336822

= 438 / 769

= 438

Step2:

LCM(1, 765) = 765

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

= 1 / 765

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 438, 769, 765, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 687, 813, 188
• GCD of 505, 603, 762, 769
• GCD of 998, 513, 612, 202
• GCD of 219, 433, 492, 571
• GCD of 777, 164, 132, 784

Given numbers are 438, 769, 765, 312
The greatest common divisor of numbers 438, 769, 765, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 769, 765, 312 is 1.

1. What is the GCD of 438, 769, 765, 312?

GCD of given numbers 438, 769, 765, 312 is 1

2. How to calculate the greatest common divisor of 438, 769, 765, 312?

We can find the highest common divisor of 438, 769, 765, 312 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 438, 769, 765, 312 i.e 1.

3. How can I use the GCD of 438, 769, 765, 312Calculator?

Out the numbers 438, 769, 765, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.