GCD of 689, 288, 799, 740 Calculator

Given Input numbers are 689, 288, 799, 740

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (689, 288, 799, 740) = 1.

Given numbers are 689, 288, 799, 740

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 799 are 17 x 47

Prime factors of 740 are 2 x 2 x 5 x 37

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

Given numbers are 689, 288, 799, 740

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

Apply this formula for all numbers.

Step1:

LCM(689, 288) = 198432

GCD(689, 288) = ( 689 x 288 ) / 198432

= 689 / 288

= 689

Step2:

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

= 1 / 799

= 1

Step3:

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

= 1 / 740

= 1

So, Greatest Common Divisor of 689, 288, 799, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 759, 930, 412
• GCD of 825, 849, 942, 924
• GCD of 940, 546, 403, 151
• GCD of 958, 532, 483, 800
• GCD of 762, 529, 766, 636

Given numbers are 689, 288, 799, 740
The greatest common divisor of numbers 689, 288, 799, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 288, 799, 740 is 1.

1. What is the GCD of 689, 288, 799, 740?

GCD of given numbers 689, 288, 799, 740 is 1

2. How to calculate the greatest common divisor of 689, 288, 799, 740?

We can find the highest common divisor of 689, 288, 799, 740 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 689, 288, 799, 740 i.e 1.

3. How can I use the GCD of 689, 288, 799, 740Calculator?

Out the numbers 689, 288, 799, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.