GCD of 660, 414, 689, 993 Calculator

Given Input numbers are 660, 414, 689, 993

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

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (660, 414, 689, 993) = 1.

Given numbers are 660, 414, 689, 993

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 689 are 13 x 53

Prime factors of 993 are 3 x 331

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

Given numbers are 660, 414, 689, 993

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

Apply this formula for all numbers.

Step1:

LCM(660, 414) = 45540

GCD(660, 414) = ( 660 x 414 ) / 45540

= 660 / 414

= 660

Step2:

LCM(6, 689) = 4134

GCD(6, 689) = ( 6 x 689 ) / 4134

= 6 / 689

= 6

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 660, 414, 689, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 694, 710, 667
• GCD of 464, 232, 919, 597
• GCD of 984, 346, 338, 495
• GCD of 258, 618, 408, 628
• GCD of 643, 729, 689, 295

Given numbers are 660, 414, 689, 993
The greatest common divisor of numbers 660, 414, 689, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 414, 689, 993 is 1.

1. What is the GCD of 660, 414, 689, 993?

GCD of given numbers 660, 414, 689, 993 is 1

2. How to calculate the greatest common divisor of 660, 414, 689, 993?

We can find the highest common divisor of 660, 414, 689, 993 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 660, 414, 689, 993 i.e 1.

3. How can I use the GCD of 660, 414, 689, 993Calculator?

Out the numbers 660, 414, 689, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.