GCD of 688, 358, 200, 684 Calculator

Given Input numbers are 688, 358, 200, 684

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (688, 358, 200, 684) = 2.

Given numbers are 688, 358, 200, 684

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 358 are 2 x 179

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 688, 358, 200, 684 is 2.

Given numbers are 688, 358, 200, 684

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

Apply this formula for all numbers.

Step1:

LCM(688, 358) = 123152

GCD(688, 358) = ( 688 x 358 ) / 123152

= 688 / 358

= 688

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 688, 358, 200, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 289, 216, 658
• GCD of 746, 131, 267, 843
• GCD of 627, 577, 372, 204
• GCD of 387, 465, 836, 749
• GCD of 137, 971, 490, 495

Given numbers are 688, 358, 200, 684
The greatest common divisor of numbers 688, 358, 200, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 358, 200, 684 is 2.

1. What is the GCD of 688, 358, 200, 684?

GCD of given numbers 688, 358, 200, 684 is 2

2. How to calculate the greatest common divisor of 688, 358, 200, 684?

We can find the highest common divisor of 688, 358, 200, 684 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, 358, 200, 684 i.e 2.

3. How can I use the GCD of 688, 358, 200, 684Calculator?

Out the numbers 688, 358, 200, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.