GCD of 689, 665, 574, 891 Calculator

Given Input numbers are 689, 665, 574, 891

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 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (689, 665, 574, 891) = 1.

Given numbers are 689, 665, 574, 891

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 665 are 5 x 7 x 19

Prime factors of 574 are 2 x 7 x 41

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

Given numbers are 689, 665, 574, 891

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

Apply this formula for all numbers.

Step1:

LCM(689, 665) = 458185

GCD(689, 665) = ( 689 x 665 ) / 458185

= 689 / 665

= 689

Step2:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1

Step3:

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

= 1 / 891

= 1

So, Greatest Common Divisor of 689, 665, 574, 891 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 738, 289, 276
• GCD of 431, 593, 575, 107
• GCD of 836, 389, 403, 492
• GCD of 462, 686, 767, 105
• GCD of 702, 183, 763, 602

Given numbers are 689, 665, 574, 891
The greatest common divisor of numbers 689, 665, 574, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 665, 574, 891 is 1.

1. What is the GCD of 689, 665, 574, 891?

GCD of given numbers 689, 665, 574, 891 is 1

2. How to calculate the greatest common divisor of 689, 665, 574, 891?

We can find the highest common divisor of 689, 665, 574, 891 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, 665, 574, 891 i.e 1.

3. How can I use the GCD of 689, 665, 574, 891Calculator?

Out the numbers 689, 665, 574, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.