GCD of 688, 176, 414, 988 Calculator

Given Input numbers are 688, 176, 414, 988

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 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (688, 176, 414, 988) = 2.

Given numbers are 688, 176, 414, 988

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 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 688, 176, 414, 988 is 2.

Given numbers are 688, 176, 414, 988

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

Apply this formula for all numbers.

Step1:

LCM(688, 176) = 7568

GCD(688, 176) = ( 688 x 176 ) / 7568

= 688 / 176

= 688

Step2:

LCM(16, 414) = 3312

GCD(16, 414) = ( 16 x 414 ) / 3312

= 16 / 414

= 16

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 688, 176, 414, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 463, 935, 335
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• GCD of 910, 356, 664, 392

Given numbers are 688, 176, 414, 988
The greatest common divisor of numbers 688, 176, 414, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 176, 414, 988 is 2.

1. What is the GCD of 688, 176, 414, 988?

GCD of given numbers 688, 176, 414, 988 is 2

2. How to calculate the greatest common divisor of 688, 176, 414, 988?

We can find the highest common divisor of 688, 176, 414, 988 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, 176, 414, 988 i.e 2.

3. How can I use the GCD of 688, 176, 414, 988Calculator?

Out the numbers 688, 176, 414, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.