GCD of 689, 298, 658, 168 Calculator

Given Input numbers are 689, 298, 658, 168

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (689, 298, 658, 168) = 1.

Given numbers are 689, 298, 658, 168

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 298 are 2 x 149

Prime factors of 658 are 2 x 7 x 47

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

Given numbers are 689, 298, 658, 168

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

Apply this formula for all numbers.

Step1:

LCM(689, 298) = 205322

GCD(689, 298) = ( 689 x 298 ) / 205322

= 689 / 298

= 689

Step2:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1

Step3:

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

= 1 / 168

= 1

So, Greatest Common Divisor of 689, 298, 658, 168 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 314, 609, 885
• GCD of 967, 336, 400, 787
• GCD of 415, 977, 610, 909
• GCD of 628, 355, 617, 487
• GCD of 136, 148, 905, 212

Given numbers are 689, 298, 658, 168
The greatest common divisor of numbers 689, 298, 658, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 298, 658, 168 is 1.

1. What is the GCD of 689, 298, 658, 168?

GCD of given numbers 689, 298, 658, 168 is 1

2. How to calculate the greatest common divisor of 689, 298, 658, 168?

We can find the highest common divisor of 689, 298, 658, 168 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 689, 298, 658, 168 i.e 1.

3. How can I use the GCD of 689, 298, 658, 168Calculator?

Out the numbers 689, 298, 658, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.