GCD of 918, 343, 689, 329 Calculator

Given Input numbers are 918, 343, 689, 329

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

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

GCD of numbers is the greatest common divisor

So, the GCD (918, 343, 689, 329) = 1.

Given numbers are 918, 343, 689, 329

The list of prime factors of all numbers are

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

Prime factors of 343 are 7 x 7 x 7

Prime factors of 689 are 13 x 53

Prime factors of 329 are 7 x 47

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

Given numbers are 918, 343, 689, 329

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

Apply this formula for all numbers.

Step1:

LCM(918, 343) = 314874

GCD(918, 343) = ( 918 x 343 ) / 314874

= 918 / 343

= 918

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

= 1 / 329

= 1

So, Greatest Common Divisor of 918, 343, 689, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 617, 674, 905
• GCD of 318, 437, 864, 546
• GCD of 188, 698, 458, 496
• GCD of 353, 396, 138, 947
• GCD of 845, 279, 739, 848

Given numbers are 918, 343, 689, 329
The greatest common divisor of numbers 918, 343, 689, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 343, 689, 329 is 1.

1. What is the GCD of 918, 343, 689, 329?

GCD of given numbers 918, 343, 689, 329 is 1

2. How to calculate the greatest common divisor of 918, 343, 689, 329?

We can find the highest common divisor of 918, 343, 689, 329 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 918, 343, 689, 329 i.e 1.

3. How can I use the GCD of 918, 343, 689, 329Calculator?

Out the numbers 918, 343, 689, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.