GCD of 689, 678, 928, 198 Calculator

Given Input numbers are 689, 678, 928, 198

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (689, 678, 928, 198) = 1.

Given numbers are 689, 678, 928, 198

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 678 are 2 x 3 x 113

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 689, 678, 928, 198

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

Apply this formula for all numbers.

Step1:

LCM(689, 678) = 467142

GCD(689, 678) = ( 689 x 678 ) / 467142

= 689 / 678

= 689

Step2:

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

= 1 / 928

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 689, 678, 928, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 671, 107, 716
• GCD of 621, 543, 370, 919
• GCD of 444, 598, 614, 368
• GCD of 373, 198, 484, 278
• GCD of 120, 648, 272, 848

Given numbers are 689, 678, 928, 198
The greatest common divisor of numbers 689, 678, 928, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 678, 928, 198 is 1.

1. What is the GCD of 689, 678, 928, 198?

GCD of given numbers 689, 678, 928, 198 is 1

2. How to calculate the greatest common divisor of 689, 678, 928, 198?

We can find the highest common divisor of 689, 678, 928, 198 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, 678, 928, 198 i.e 1.

3. How can I use the GCD of 689, 678, 928, 198Calculator?

Out the numbers 689, 678, 928, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.