GCD of 688, 354, 28, 166 Calculator

Given Input numbers are 688, 354, 28, 166

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

GCD of numbers is the greatest common divisor

So, the GCD (688, 354, 28, 166) = 2.

Given numbers are 688, 354, 28, 166

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 354 are 2 x 3 x 59

Prime factors of 28 are 2 x 2 x 7

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 688, 354, 28, 166 is 2.

Given numbers are 688, 354, 28, 166

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

Apply this formula for all numbers.

Step1:

LCM(688, 354) = 121776

GCD(688, 354) = ( 688 x 354 ) / 121776

= 688 / 354

= 688

Step2:

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

= 2 / 28

= 2

Step3:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

So, Greatest Common Divisor of 688, 354, 28, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 187, 48, 514
• GCD of 948, 429, 54, 653
• GCD of 558, 835, 90, 813
• GCD of 523, 171, 29, 935
• GCD of 739, 359, 40, 450

Given numbers are 688, 354, 28, 166
The greatest common divisor of numbers 688, 354, 28, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 354, 28, 166 is 2.

1. What is the GCD of 688, 354, 28, 166?

GCD of given numbers 688, 354, 28, 166 is 2

2. How to calculate the greatest common divisor of 688, 354, 28, 166?

We can find the highest common divisor of 688, 354, 28, 166 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, 354, 28, 166 i.e 2.

3. How can I use the GCD of 688, 354, 28, 166Calculator?

Out the numbers 688, 354, 28, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.