GCD of 420, 787, 289, 331 Calculator

Given Input numbers are 420, 787, 289, 331

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

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 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

Divisors of 289 :

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

1, 17, 289

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (420, 787, 289, 331) = 1.

Given numbers are 420, 787, 289, 331

The list of prime factors of all numbers are

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

Prime factors of 787 are 787

Prime factors of 289 are 17 x 17

Prime factors of 331 are 331

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

Given numbers are 420, 787, 289, 331

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

Apply this formula for all numbers.

Step1:

LCM(420, 787) = 330540

GCD(420, 787) = ( 420 x 787 ) / 330540

= 420 / 787

= 420

Step2:

LCM(1, 289) = 289

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

= 1 / 289

= 1

Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1

So, Greatest Common Divisor of 420, 787, 289, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 901, 163, 604
• GCD of 977, 455, 983, 664
• GCD of 683, 285, 487, 858
• GCD of 984, 706, 330, 999
• GCD of 217, 399, 675, 172

Given numbers are 420, 787, 289, 331
The greatest common divisor of numbers 420, 787, 289, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 787, 289, 331 is 1.

1. What is the GCD of 420, 787, 289, 331?

GCD of given numbers 420, 787, 289, 331 is 1

2. How to calculate the greatest common divisor of 420, 787, 289, 331?

We can find the highest common divisor of 420, 787, 289, 331 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 420, 787, 289, 331 i.e 1.

3. How can I use the GCD of 420, 787, 289, 331Calculator?

Out the numbers 420, 787, 289, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.