GCD of 768, 225, 305, 691 Calculator

Given Input numbers are 768, 225, 305, 691

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

GCD of numbers is the greatest common divisor

So, the GCD (768, 225, 305, 691) = 1.

Given numbers are 768, 225, 305, 691

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 225 are 3 x 3 x 5 x 5

Prime factors of 305 are 5 x 61

Prime factors of 691 are 691

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

Given numbers are 768, 225, 305, 691

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

Apply this formula for all numbers.

Step1:

LCM(768, 225) = 57600

GCD(768, 225) = ( 768 x 225 ) / 57600

= 768 / 225

= 768

Step2:

LCM(3, 305) = 915

GCD(3, 305) = ( 3 x 305 ) / 915

= 3 / 305

= 3

Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1

So, Greatest Common Divisor of 768, 225, 305, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 525, 774, 981
• GCD of 233, 188, 184, 491
• GCD of 671, 613, 684, 888
• GCD of 902, 993, 959, 293
• GCD of 152, 455, 574, 202

Given numbers are 768, 225, 305, 691
The greatest common divisor of numbers 768, 225, 305, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 225, 305, 691 is 1.

1. What is the GCD of 768, 225, 305, 691?

GCD of given numbers 768, 225, 305, 691 is 1

2. How to calculate the greatest common divisor of 768, 225, 305, 691?

We can find the highest common divisor of 768, 225, 305, 691 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, 225, 305, 691 i.e 1.

3. How can I use the GCD of 768, 225, 305, 691Calculator?

Out the numbers 768, 225, 305, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.