GCD of 898, 345, 561, 421 Calculator

Given Input numbers are 898, 345, 561, 421

In the factoring method, we have to find the divisors of all numbers

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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 (898, 345, 561, 421) = 1.

Given numbers are 898, 345, 561, 421

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 345 are 3 x 5 x 23

Prime factors of 561 are 3 x 11 x 17

Prime factors of 421 are 421

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

Given numbers are 898, 345, 561, 421

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

Apply this formula for all numbers.

Step1:

LCM(898, 345) = 309810

GCD(898, 345) = ( 898 x 345 ) / 309810

= 898 / 345

= 898

Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

Step3:

LCM(1, 421) = 421

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

= 1 / 421

= 1

So, Greatest Common Divisor of 898, 345, 561, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 659, 295, 565
• GCD of 731, 580, 665, 722
• GCD of 216, 114, 677, 673
• GCD of 365, 244, 852, 922
• GCD of 406, 840, 133, 423

Given numbers are 898, 345, 561, 421
The greatest common divisor of numbers 898, 345, 561, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 345, 561, 421 is 1.

1. What is the GCD of 898, 345, 561, 421?

GCD of given numbers 898, 345, 561, 421 is 1

2. How to calculate the greatest common divisor of 898, 345, 561, 421?

We can find the highest common divisor of 898, 345, 561, 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 898, 345, 561, 421 i.e 1.

3. How can I use the GCD of 898, 345, 561, 421Calculator?

Out the numbers 898, 345, 561, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.