GCD of 328, 982, 504, 978 Calculator

Given Input numbers are 328, 982, 504, 978

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 978 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (328, 982, 504, 978) = 2.

Given numbers are 328, 982, 504, 978

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 982 are 2 x 491

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 328, 982, 504, 978 is 2.

Given numbers are 328, 982, 504, 978

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

Apply this formula for all numbers.

Step1:

LCM(328, 982) = 161048

GCD(328, 982) = ( 328 x 982 ) / 161048

= 328 / 982

= 328

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

So, Greatest Common Divisor of 328, 982, 504, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 337, 507, 245
• GCD of 290, 125, 540, 625
• GCD of 276, 678, 334, 371
• GCD of 241, 756, 408, 981
• GCD of 782, 736, 305, 238

Given numbers are 328, 982, 504, 978
The greatest common divisor of numbers 328, 982, 504, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 982, 504, 978 is 2.

1. What is the GCD of 328, 982, 504, 978?

GCD of given numbers 328, 982, 504, 978 is 2

2. How to calculate the greatest common divisor of 328, 982, 504, 978?

We can find the highest common divisor of 328, 982, 504, 978 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 328, 982, 504, 978 i.e 2.

3. How can I use the GCD of 328, 982, 504, 978Calculator?

Out the numbers 328, 982, 504, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.