GCD of 689, 185, 893, 421 Calculator

Given Input numbers are 689, 185, 893, 421

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 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (689, 185, 893, 421) = 1.

Given numbers are 689, 185, 893, 421

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 185 are 5 x 37

Prime factors of 893 are 19 x 47

Prime factors of 421 are 421

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

Given numbers are 689, 185, 893, 421

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

Apply this formula for all numbers.

Step1:

LCM(689, 185) = 127465

GCD(689, 185) = ( 689 x 185 ) / 127465

= 689 / 185

= 689

Step2:

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

= 1 / 893

= 1

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 689, 185, 893, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 472, 141, 257
• GCD of 258, 933, 194, 483
• GCD of 879, 195, 723, 718
• GCD of 351, 288, 997, 236
• GCD of 537, 227, 696, 799

Given numbers are 689, 185, 893, 421
The greatest common divisor of numbers 689, 185, 893, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 185, 893, 421 is 1.

1. What is the GCD of 689, 185, 893, 421?

GCD of given numbers 689, 185, 893, 421 is 1

2. How to calculate the greatest common divisor of 689, 185, 893, 421?

We can find the highest common divisor of 689, 185, 893, 421 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, 185, 893, 421 i.e 1.

3. How can I use the GCD of 689, 185, 893, 421Calculator?

Out the numbers 689, 185, 893, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.