GCD of 421, 550, 289, 723 Calculator

Given Input numbers are 421, 550, 289, 723

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

Divisors of 421 :

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

1, 421

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (421, 550, 289, 723) = 1.

Given numbers are 421, 550, 289, 723

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 289 are 17 x 17

Prime factors of 723 are 3 x 241

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

Given numbers are 421, 550, 289, 723

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

Apply this formula for all numbers.

Step1:

LCM(421, 550) = 231550

GCD(421, 550) = ( 421 x 550 ) / 231550

= 421 / 550

= 421

Step2:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 421, 550, 289, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 308, 647, 260
• GCD of 481, 271, 758, 344
• GCD of 138, 789, 817, 433
• GCD of 610, 762, 160, 477
• GCD of 575, 425, 880, 897

Given numbers are 421, 550, 289, 723
The greatest common divisor of numbers 421, 550, 289, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 550, 289, 723 is 1.

1. What is the GCD of 421, 550, 289, 723?

GCD of given numbers 421, 550, 289, 723 is 1

2. How to calculate the greatest common divisor of 421, 550, 289, 723?

We can find the highest common divisor of 421, 550, 289, 723 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 421, 550, 289, 723 i.e 1.

3. How can I use the GCD of 421, 550, 289, 723Calculator?

Out the numbers 421, 550, 289, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.