GCD of 689, 105, 341, 932 Calculator

Given Input numbers are 689, 105, 341, 932

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

GCD of numbers is the greatest common divisor

So, the GCD (689, 105, 341, 932) = 1.

Given numbers are 689, 105, 341, 932

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 105 are 3 x 5 x 7

Prime factors of 341 are 11 x 31

Prime factors of 932 are 2 x 2 x 233

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

Given numbers are 689, 105, 341, 932

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

Apply this formula for all numbers.

Step1:

LCM(689, 105) = 72345

GCD(689, 105) = ( 689 x 105 ) / 72345

= 689 / 105

= 689

Step2:

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

= 1 / 341

= 1

Step3:

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

= 1 / 932

= 1

So, Greatest Common Divisor of 689, 105, 341, 932 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 673, 586, 329
• GCD of 165, 114, 857, 452
• GCD of 449, 155, 960, 514
• GCD of 214, 622, 219, 944
• GCD of 468, 301, 743, 659

Given numbers are 689, 105, 341, 932
The greatest common divisor of numbers 689, 105, 341, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 105, 341, 932 is 1.

1. What is the GCD of 689, 105, 341, 932?

GCD of given numbers 689, 105, 341, 932 is 1

2. How to calculate the greatest common divisor of 689, 105, 341, 932?

We can find the highest common divisor of 689, 105, 341, 932 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, 105, 341, 932 i.e 1.

3. How can I use the GCD of 689, 105, 341, 932Calculator?

Out the numbers 689, 105, 341, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.