GCD of 289, 387, 420, 351 Calculator

Given Input numbers are 289, 387, 420, 351

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

Divisors of 289 :

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

1, 17, 289

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (289, 387, 420, 351) = 1.

Given numbers are 289, 387, 420, 351

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 387 are 3 x 3 x 43

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 351 are 3 x 3 x 3 x 13

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

Given numbers are 289, 387, 420, 351

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

Apply this formula for all numbers.

Step1:

LCM(289, 387) = 111843

GCD(289, 387) = ( 289 x 387 ) / 111843

= 289 / 387

= 289

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1

So, Greatest Common Divisor of 289, 387, 420, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 262, 343, 785
• GCD of 978, 687, 647, 273
• GCD of 815, 341, 848, 895
• GCD of 797, 244, 266, 690
• GCD of 865, 161, 363, 313

Given numbers are 289, 387, 420, 351
The greatest common divisor of numbers 289, 387, 420, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 387, 420, 351 is 1.

1. What is the GCD of 289, 387, 420, 351?

GCD of given numbers 289, 387, 420, 351 is 1

2. How to calculate the greatest common divisor of 289, 387, 420, 351?

We can find the highest common divisor of 289, 387, 420, 351 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 289, 387, 420, 351 i.e 1.

3. How can I use the GCD of 289, 387, 420, 351Calculator?

Out the numbers 289, 387, 420, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.