GCD of 688, 598, 38, 882 Calculator

Given Input numbers are 688, 598, 38, 882

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

Divisors of 688 :

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

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (688, 598, 38, 882) = 2.

Given numbers are 688, 598, 38, 882

The list of prime factors of all numbers are

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

Prime factors of 598 are 2 x 13 x 23

Prime factors of 38 are 2 x 19

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 688, 598, 38, 882 is 2.

Given numbers are 688, 598, 38, 882

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

Apply this formula for all numbers.

Step1:

LCM(688, 598) = 205712

GCD(688, 598) = ( 688 x 598 ) / 205712

= 688 / 598

= 688

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 688, 598, 38, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 625, 96, 778
• GCD of 342, 136, 95, 138
• GCD of 796, 625, 41, 845
• GCD of 347, 942, 42, 239
• GCD of 718, 505, 26, 364

Given numbers are 688, 598, 38, 882
The greatest common divisor of numbers 688, 598, 38, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 598, 38, 882 is 2.

1. What is the GCD of 688, 598, 38, 882?

GCD of given numbers 688, 598, 38, 882 is 2

2. How to calculate the greatest common divisor of 688, 598, 38, 882?

We can find the highest common divisor of 688, 598, 38, 882 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 688, 598, 38, 882 i.e 2.

3. How can I use the GCD of 688, 598, 38, 882Calculator?

Out the numbers 688, 598, 38, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.