GCD of 689, 731, 241, 617 Calculator

Given Input numbers are 689, 731, 241, 617

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

GCD of numbers is the greatest common divisor

So, the GCD (689, 731, 241, 617) = 1.

Given numbers are 689, 731, 241, 617

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 731 are 17 x 43

Prime factors of 241 are 241

Prime factors of 617 are 617

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

Given numbers are 689, 731, 241, 617

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

Apply this formula for all numbers.

Step1:

LCM(689, 731) = 503659

GCD(689, 731) = ( 689 x 731 ) / 503659

= 689 / 731

= 689

Step2:

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

= 1 / 241

= 1

Step3:

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

= 1 / 617

= 1

So, Greatest Common Divisor of 689, 731, 241, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 277, 110, 560
• GCD of 679, 114, 423, 633
• GCD of 620, 633, 106, 820
• GCD of 826, 882, 290, 357
• GCD of 903, 420, 150, 714

Given numbers are 689, 731, 241, 617
The greatest common divisor of numbers 689, 731, 241, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 731, 241, 617 is 1.

1. What is the GCD of 689, 731, 241, 617?

GCD of given numbers 689, 731, 241, 617 is 1

2. How to calculate the greatest common divisor of 689, 731, 241, 617?

We can find the highest common divisor of 689, 731, 241, 617 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, 731, 241, 617 i.e 1.

3. How can I use the GCD of 689, 731, 241, 617Calculator?

Out the numbers 689, 731, 241, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.