GCD of 426, 586, 289, 349 Calculator

Given Input numbers are 426, 586, 289, 349

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 289 :

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

1, 17, 289

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (426, 586, 289, 349) = 1.

Given numbers are 426, 586, 289, 349

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 586 are 2 x 293

Prime factors of 289 are 17 x 17

Prime factors of 349 are 349

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

Given numbers are 426, 586, 289, 349

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

Apply this formula for all numbers.

Step1:

LCM(426, 586) = 124818

GCD(426, 586) = ( 426 x 586 ) / 124818

= 426 / 586

= 426

Step2:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 426, 586, 289, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 309, 724, 858
• GCD of 448, 379, 815, 691
• GCD of 980, 800, 424, 313
• GCD of 862, 415, 453, 896
• GCD of 197, 759, 948, 780

Given numbers are 426, 586, 289, 349
The greatest common divisor of numbers 426, 586, 289, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 586, 289, 349 is 1.

1. What is the GCD of 426, 586, 289, 349?

GCD of given numbers 426, 586, 289, 349 is 1

2. How to calculate the greatest common divisor of 426, 586, 289, 349?

We can find the highest common divisor of 426, 586, 289, 349 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 426, 586, 289, 349 i.e 1.

3. How can I use the GCD of 426, 586, 289, 349Calculator?

Out the numbers 426, 586, 289, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.