GCD of 522, 978, 584, 490 Calculator

Given Input numbers are 522, 978, 584, 490

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

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

Divisors of 978 :

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

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (522, 978, 584, 490) = 2.

Given numbers are 522, 978, 584, 490

The list of prime factors of all numbers are

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 522, 978, 584, 490 is 2.

Given numbers are 522, 978, 584, 490

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

Apply this formula for all numbers.

Step1:

LCM(522, 978) = 85086

GCD(522, 978) = ( 522 x 978 ) / 85086

= 522 / 978

= 522

Step2:

LCM(6, 584) = 1752

GCD(6, 584) = ( 6 x 584 ) / 1752

= 6 / 584

= 6

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 522, 978, 584, 490 is 2

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Given numbers are 522, 978, 584, 490
The greatest common divisor of numbers 522, 978, 584, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 978, 584, 490 is 2.

1. What is the GCD of 522, 978, 584, 490?

GCD of given numbers 522, 978, 584, 490 is 2

2. How to calculate the greatest common divisor of 522, 978, 584, 490?

We can find the highest common divisor of 522, 978, 584, 490 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 522, 978, 584, 490 i.e 2.

3. How can I use the GCD of 522, 978, 584, 490Calculator?

Out the numbers 522, 978, 584, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.