GCD of 678, 531, 660, 994 Calculator

Given Input numbers are 678, 531, 660, 994

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (678, 531, 660, 994) = 1.

Given numbers are 678, 531, 660, 994

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 531 are 3 x 3 x 59

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

Prime factors of 994 are 2 x 7 x 71

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

Given numbers are 678, 531, 660, 994

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

Apply this formula for all numbers.

Step1:

LCM(678, 531) = 120006

GCD(678, 531) = ( 678 x 531 ) / 120006

= 678 / 531

= 678

Step2:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3

Step3:

LCM(3, 994) = 2982

GCD(3, 994) = ( 3 x 994 ) / 2982

= 3 / 994

= 3

So, Greatest Common Divisor of 678, 531, 660, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 263, 137, 442
• GCD of 477, 152, 150, 542
• GCD of 749, 151, 951, 409
• GCD of 452, 869, 373, 728
• GCD of 630, 425, 803, 506

Given numbers are 678, 531, 660, 994
The greatest common divisor of numbers 678, 531, 660, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 531, 660, 994 is 1.

1. What is the GCD of 678, 531, 660, 994?

GCD of given numbers 678, 531, 660, 994 is 1

2. How to calculate the greatest common divisor of 678, 531, 660, 994?

We can find the highest common divisor of 678, 531, 660, 994 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 678, 531, 660, 994 i.e 1.

3. How can I use the GCD of 678, 531, 660, 994Calculator?

Out the numbers 678, 531, 660, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.