GCD of 522, 704, 998, 688 Calculator

Given Input numbers are 522, 704, 998, 688

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (522, 704, 998, 688) = 2.

Given numbers are 522, 704, 998, 688

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 998 are 2 x 499

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 522, 704, 998, 688 is 2.

Given numbers are 522, 704, 998, 688

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

Apply this formula for all numbers.

Step1:

LCM(522, 704) = 183744

GCD(522, 704) = ( 522 x 704 ) / 183744

= 522 / 704

= 522

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 522, 704, 998, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 795, 223, 297
• GCD of 335, 623, 118, 279
• GCD of 746, 717, 985, 239
• GCD of 176, 954, 677, 510
• GCD of 833, 199, 151, 362

Given numbers are 522, 704, 998, 688
The greatest common divisor of numbers 522, 704, 998, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 704, 998, 688 is 2.

1. What is the GCD of 522, 704, 998, 688?

GCD of given numbers 522, 704, 998, 688 is 2

2. How to calculate the greatest common divisor of 522, 704, 998, 688?

We can find the highest common divisor of 522, 704, 998, 688 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, 704, 998, 688 i.e 2.

3. How can I use the GCD of 522, 704, 998, 688Calculator?

Out the numbers 522, 704, 998, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.