GCD of 396, 978, 674, 993 Calculator

Given Input numbers are 396, 978, 674, 993

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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 (396, 978, 674, 993) = 1.

Given numbers are 396, 978, 674, 993

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 978 are 2 x 3 x 163

Prime factors of 674 are 2 x 337

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 396, 978, 674, 993

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

Apply this formula for all numbers.

Step1:

LCM(396, 978) = 64548

GCD(396, 978) = ( 396 x 978 ) / 64548

= 396 / 978

= 396

Step2:

LCM(6, 674) = 2022

GCD(6, 674) = ( 6 x 674 ) / 2022

= 6 / 674

= 6

Step3:

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

= 2 / 993

= 2

So, Greatest Common Divisor of 396, 978, 674, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 298, 834, 636
• GCD of 532, 707, 654, 866
• GCD of 374, 863, 558, 326
• GCD of 109, 305, 195, 645
• GCD of 255, 522, 658, 301

Given numbers are 396, 978, 674, 993
The greatest common divisor of numbers 396, 978, 674, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 978, 674, 993 is 1.

1. What is the GCD of 396, 978, 674, 993?

GCD of given numbers 396, 978, 674, 993 is 1

2. How to calculate the greatest common divisor of 396, 978, 674, 993?

We can find the highest common divisor of 396, 978, 674, 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 396, 978, 674, 993 i.e 1.

3. How can I use the GCD of 396, 978, 674, 993Calculator?

Out the numbers 396, 978, 674, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.