GCD of 689, 918, 274, 623 Calculator

Given Input numbers are 689, 918, 274, 623

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 623 :

The positive integer divisors of 623 that completely divides 623 are.

1, 7, 89, 623

GCD of numbers is the greatest common divisor

So, the GCD (689, 918, 274, 623) = 1.

Given numbers are 689, 918, 274, 623

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 274 are 2 x 137

Prime factors of 623 are 7 x 89

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

Given numbers are 689, 918, 274, 623

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

Apply this formula for all numbers.

Step1:

LCM(689, 918) = 632502

GCD(689, 918) = ( 689 x 918 ) / 632502

= 689 / 918

= 689

Step2:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1

Step3:

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

= 1 / 623

= 1

So, Greatest Common Divisor of 689, 918, 274, 623 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 481, 516, 869
• GCD of 321, 428, 571, 834
• GCD of 458, 267, 983, 217
• GCD of 740, 584, 311, 777
• GCD of 375, 695, 876, 297

Given numbers are 689, 918, 274, 623
The greatest common divisor of numbers 689, 918, 274, 623 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 918, 274, 623 is 1.

1. What is the GCD of 689, 918, 274, 623?

GCD of given numbers 689, 918, 274, 623 is 1

2. How to calculate the greatest common divisor of 689, 918, 274, 623?

We can find the highest common divisor of 689, 918, 274, 623 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, 918, 274, 623 i.e 1.

3. How can I use the GCD of 689, 918, 274, 623Calculator?

Out the numbers 689, 918, 274, 623 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.