GCD of 689, 733, 740, 660 Calculator

Given Input numbers are 689, 733, 740, 660

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 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (689, 733, 740, 660) = 1.

Given numbers are 689, 733, 740, 660

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 733 are 733

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 689, 733, 740, 660

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

Apply this formula for all numbers.

Step1:

LCM(689, 733) = 505037

GCD(689, 733) = ( 689 x 733 ) / 505037

= 689 / 733

= 689

Step2:

LCM(1, 740) = 740

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

= 1 / 740

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 689, 733, 740, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 784, 724, 437
• GCD of 578, 521, 602, 734
• GCD of 285, 434, 943, 782
• GCD of 331, 304, 287, 754
• GCD of 757, 308, 596, 288

Given numbers are 689, 733, 740, 660
The greatest common divisor of numbers 689, 733, 740, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 733, 740, 660 is 1.

1. What is the GCD of 689, 733, 740, 660?

GCD of given numbers 689, 733, 740, 660 is 1

2. How to calculate the greatest common divisor of 689, 733, 740, 660?

We can find the highest common divisor of 689, 733, 740, 660 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, 733, 740, 660 i.e 1.

3. How can I use the GCD of 689, 733, 740, 660Calculator?

Out the numbers 689, 733, 740, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.