GCD of 998, 604, 756, 688 Calculator

Given Input numbers are 998, 604, 756, 688

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 (998, 604, 756, 688) = 2.

Given numbers are 998, 604, 756, 688

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 604 are 2 x 2 x 151

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 998, 604, 756, 688 is 2.

Given numbers are 998, 604, 756, 688

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

Apply this formula for all numbers.

Step1:

LCM(998, 604) = 301396

GCD(998, 604) = ( 998 x 604 ) / 301396

= 998 / 604

= 998

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 688) = 688

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

= 2 / 688

= 2

So, Greatest Common Divisor of 998, 604, 756, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 572, 353, 633
• GCD of 282, 112, 620, 954
• GCD of 705, 940, 391, 143
• GCD of 452, 935, 991, 634
• GCD of 745, 423, 888, 289

Given numbers are 998, 604, 756, 688
The greatest common divisor of numbers 998, 604, 756, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 604, 756, 688 is 2.

1. What is the GCD of 998, 604, 756, 688?

GCD of given numbers 998, 604, 756, 688 is 2

2. How to calculate the greatest common divisor of 998, 604, 756, 688?

We can find the highest common divisor of 998, 604, 756, 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 998, 604, 756, 688 i.e 2.

3. How can I use the GCD of 998, 604, 756, 688Calculator?

Out the numbers 998, 604, 756, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.