GCD of 769, 616, 385, 289 Calculator

Given Input numbers are 769, 616, 385, 289

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (769, 616, 385, 289) = 1.

Given numbers are 769, 616, 385, 289

The list of prime factors of all numbers are

Prime factors of 769 are 769

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 385 are 5 x 7 x 11

Prime factors of 289 are 17 x 17

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

Given numbers are 769, 616, 385, 289

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

Apply this formula for all numbers.

Step1:

LCM(769, 616) = 473704

GCD(769, 616) = ( 769 x 616 ) / 473704

= 769 / 616

= 769

Step2:

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

= 1 / 385

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 769, 616, 385, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 833, 932, 643
• GCD of 415, 498, 185, 926
• GCD of 194, 676, 552, 875
• GCD of 613, 254, 179, 961
• GCD of 421, 929, 321, 426

Given numbers are 769, 616, 385, 289
The greatest common divisor of numbers 769, 616, 385, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 769, 616, 385, 289 is 1.

1. What is the GCD of 769, 616, 385, 289?

GCD of given numbers 769, 616, 385, 289 is 1

2. How to calculate the greatest common divisor of 769, 616, 385, 289?

We can find the highest common divisor of 769, 616, 385, 289 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, 616, 385, 289 i.e 1.

3. How can I use the GCD of 769, 616, 385, 289Calculator?

Out the numbers 769, 616, 385, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.