GCD of 978, 552, 728, 996 Calculator

Given Input numbers are 978, 552, 728, 996

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

Divisors of 978 :

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

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 552, 728, 996) = 2.

Given numbers are 978, 552, 728, 996

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 978, 552, 728, 996 is 2.

Given numbers are 978, 552, 728, 996

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

Apply this formula for all numbers.

Step1:

LCM(978, 552) = 89976

GCD(978, 552) = ( 978 x 552 ) / 89976

= 978 / 552

= 978

Step2:

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

= 6 / 728

= 6

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 978, 552, 728, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 197, 803, 423
• GCD of 839, 235, 492, 872
• GCD of 805, 244, 494, 220
• GCD of 116, 340, 656, 982
• GCD of 109, 951, 192, 264

Given numbers are 978, 552, 728, 996
The greatest common divisor of numbers 978, 552, 728, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 552, 728, 996 is 2.

1. What is the GCD of 978, 552, 728, 996?

GCD of given numbers 978, 552, 728, 996 is 2

2. How to calculate the greatest common divisor of 978, 552, 728, 996?

We can find the highest common divisor of 978, 552, 728, 996 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 978, 552, 728, 996 i.e 2.

3. How can I use the GCD of 978, 552, 728, 996Calculator?

Out the numbers 978, 552, 728, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.