GCD of 688, 828, 189, 734 Calculator

Given Input numbers are 688, 828, 189, 734

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (688, 828, 189, 734) = 1.

Given numbers are 688, 828, 189, 734

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 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 734 are 2 x 367

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 688, 828, 189, 734

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

Apply this formula for all numbers.

Step1:

LCM(688, 828) = 142416

GCD(688, 828) = ( 688 x 828 ) / 142416

= 688 / 828

= 688

Step2:

LCM(4, 189) = 756

GCD(4, 189) = ( 4 x 189 ) / 756

= 4 / 189

= 4

Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1

So, Greatest Common Divisor of 688, 828, 189, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 780, 705, 233
• GCD of 995, 479, 174, 246
• GCD of 406, 391, 192, 533
• GCD of 710, 343, 817, 811
• GCD of 758, 647, 966, 222

Given numbers are 688, 828, 189, 734
The greatest common divisor of numbers 688, 828, 189, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 828, 189, 734 is 1.

1. What is the GCD of 688, 828, 189, 734?

GCD of given numbers 688, 828, 189, 734 is 1

2. How to calculate the greatest common divisor of 688, 828, 189, 734?

We can find the highest common divisor of 688, 828, 189, 734 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, 828, 189, 734 i.e 1.

3. How can I use the GCD of 688, 828, 189, 734Calculator?

Out the numbers 688, 828, 189, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.