GCD of 288, 465, 709, 675 Calculator

Given Input numbers are 288, 465, 709, 675

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (288, 465, 709, 675) = 1.

Given numbers are 288, 465, 709, 675

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 465 are 3 x 5 x 31

Prime factors of 709 are 709

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 288, 465, 709, 675

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

Apply this formula for all numbers.

Step1:

LCM(288, 465) = 44640

GCD(288, 465) = ( 288 x 465 ) / 44640

= 288 / 465

= 288

Step2:

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

= 3 / 709

= 3

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 288, 465, 709, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 854, 521, 351
• GCD of 366, 988, 227, 328
• GCD of 339, 703, 422, 524
• GCD of 517, 293, 467, 813
• GCD of 344, 134, 884, 164

Given numbers are 288, 465, 709, 675
The greatest common divisor of numbers 288, 465, 709, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 465, 709, 675 is 1.

1. What is the GCD of 288, 465, 709, 675?

GCD of given numbers 288, 465, 709, 675 is 1

2. How to calculate the greatest common divisor of 288, 465, 709, 675?

We can find the highest common divisor of 288, 465, 709, 675 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 288, 465, 709, 675 i.e 1.

3. How can I use the GCD of 288, 465, 709, 675Calculator?

Out the numbers 288, 465, 709, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.