GCD of 996, 978, 628, 171 Calculator

Given Input numbers are 996, 978, 628, 171

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 978 :

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

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (996, 978, 628, 171) = 1.

Given numbers are 996, 978, 628, 171

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 978 are 2 x 3 x 163

Prime factors of 628 are 2 x 2 x 157

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 996, 978, 628, 171

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

Apply this formula for all numbers.

Step1:

LCM(996, 978) = 162348

GCD(996, 978) = ( 996 x 978 ) / 162348

= 996 / 978

= 996

Step2:

LCM(6, 628) = 1884

GCD(6, 628) = ( 6 x 628 ) / 1884

= 6 / 628

= 6

Step3:

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

= 2 / 171

= 2

So, Greatest Common Divisor of 996, 978, 628, 171 is 1

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Given numbers are 996, 978, 628, 171
The greatest common divisor of numbers 996, 978, 628, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 978, 628, 171 is 1.

1. What is the GCD of 996, 978, 628, 171?

GCD of given numbers 996, 978, 628, 171 is 1

2. How to calculate the greatest common divisor of 996, 978, 628, 171?

We can find the highest common divisor of 996, 978, 628, 171 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 996, 978, 628, 171 i.e 1.

3. How can I use the GCD of 996, 978, 628, 171Calculator?

Out the numbers 996, 978, 628, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.