GCD of 978, 784, 504, 522 Calculator

Given Input numbers are 978, 784, 504, 522

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (978, 784, 504, 522) = 2.

Given numbers are 978, 784, 504, 522

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 978, 784, 504, 522 is 2.

Given numbers are 978, 784, 504, 522

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

Apply this formula for all numbers.

Step1:

LCM(978, 784) = 383376

GCD(978, 784) = ( 978 x 784 ) / 383376

= 978 / 784

= 978

Step2:

LCM(2, 504) = 504

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

= 2 / 504

= 2

Step3:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

So, Greatest Common Divisor of 978, 784, 504, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 954, 599, 923
• GCD of 732, 287, 701, 475
• GCD of 638, 121, 833, 602
• GCD of 380, 679, 535, 148
• GCD of 609, 717, 638, 535

Given numbers are 978, 784, 504, 522
The greatest common divisor of numbers 978, 784, 504, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 784, 504, 522 is 2.

1. What is the GCD of 978, 784, 504, 522?

GCD of given numbers 978, 784, 504, 522 is 2

2. How to calculate the greatest common divisor of 978, 784, 504, 522?

We can find the highest common divisor of 978, 784, 504, 522 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, 784, 504, 522 i.e 2.

3. How can I use the GCD of 978, 784, 504, 522Calculator?

Out the numbers 978, 784, 504, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.