GCD of 689, 143, 15 Calculator

Given Input numbers are 689, 143, 15

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

GCD of numbers is the greatest common divisor

So, the GCD (689, 143, 15) = 1.

Given numbers are 689, 143, 15

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 143 are 11 x 13

Prime factors of 15 are 3 x 5

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

Given numbers are 689, 143, 15

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

Apply this formula for all numbers.

Step1:

LCM(689, 143) = 7579

GCD(689, 143) = ( 689 x 143 ) / 7579

= 689 / 143

= 689

Step2:

LCM(13, 15) = 195

GCD(13, 15) = ( 13 x 15 ) / 195

= 13 / 15

= 13

So, Greatest Common Divisor of 689, 143, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 559, 83
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Given numbers are 689, 143, 15
The greatest common divisor of numbers 689, 143, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 143, 15 is 1.

1. What is the GCD of 689, 143, 15?

GCD of given numbers 689, 143, 15 is 1

2. How to calculate the greatest common divisor of 689, 143, 15?

We can find the highest common divisor of 689, 143, 15 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, 143, 15 i.e 1.

3. How can I use the GCD of 689, 143, 15Calculator?

Out the numbers 689, 143, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.