GCD of 522, 988, 686, 308 Calculator

Given Input numbers are 522, 988, 686, 308

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (522, 988, 686, 308) = 2.

Given numbers are 522, 988, 686, 308

The list of prime factors of all numbers are

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

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 522, 988, 686, 308 is 2.

Given numbers are 522, 988, 686, 308

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

Apply this formula for all numbers.

Step1:

LCM(522, 988) = 257868

GCD(522, 988) = ( 522 x 988 ) / 257868

= 522 / 988

= 522

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 522, 988, 686, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 686, 677, 496
• GCD of 526, 776, 250, 181
• GCD of 436, 312, 417, 567
• GCD of 262, 574, 673, 799
• GCD of 625, 132, 341, 233

Given numbers are 522, 988, 686, 308
The greatest common divisor of numbers 522, 988, 686, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 988, 686, 308 is 2.

1. What is the GCD of 522, 988, 686, 308?

GCD of given numbers 522, 988, 686, 308 is 2

2. How to calculate the greatest common divisor of 522, 988, 686, 308?

We can find the highest common divisor of 522, 988, 686, 308 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, 988, 686, 308 i.e 2.

3. How can I use the GCD of 522, 988, 686, 308Calculator?

Out the numbers 522, 988, 686, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.