GCD of 689, 344, 913 Calculator

Given Input numbers are 689, 344, 913

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

GCD of numbers is the greatest common divisor

So, the GCD (689, 344, 913) = 1.

Given numbers are 689, 344, 913

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 913 are 11 x 83

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

Given numbers are 689, 344, 913

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

Apply this formula for all numbers.

Step1:

LCM(689, 344) = 237016

GCD(689, 344) = ( 689 x 344 ) / 237016

= 689 / 344

= 689

Step2:

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

= 1 / 913

= 1

So, Greatest Common Divisor of 689, 344, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 916, 825
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• GCD of 920, 582, 145
• GCD of 564, 419, 151
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Given numbers are 689, 344, 913
The greatest common divisor of numbers 689, 344, 913 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 344, 913 is 1.

1. What is the GCD of 689, 344, 913?

GCD of given numbers 689, 344, 913 is 1

2. How to calculate the greatest common divisor of 689, 344, 913?

We can find the highest common divisor of 689, 344, 913 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, 344, 913 i.e 1.

3. How can I use the GCD of 689, 344, 913Calculator?

Out the numbers 689, 344, 913 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.