GCD of 420, 243, 820, 351 Calculator

Given Input numbers are 420, 243, 820, 351

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 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 (420, 243, 820, 351) = 1.

Given numbers are 420, 243, 820, 351

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 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 820 are 2 x 2 x 5 x 41

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 420, 243, 820, 351

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

Apply this formula for all numbers.

Step1:

LCM(420, 243) = 34020

GCD(420, 243) = ( 420 x 243 ) / 34020

= 420 / 243

= 420

Step2:

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

= 3 / 820

= 3

Step3:

LCM(1, 351) = 351

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

= 1 / 351

= 1

So, Greatest Common Divisor of 420, 243, 820, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 914, 773, 414
• GCD of 250, 228, 420, 497
• GCD of 159, 510, 455, 451
• GCD of 271, 424, 714, 891
• GCD of 478, 786, 810, 420

Given numbers are 420, 243, 820, 351
The greatest common divisor of numbers 420, 243, 820, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 243, 820, 351 is 1.

1. What is the GCD of 420, 243, 820, 351?

GCD of given numbers 420, 243, 820, 351 is 1

2. How to calculate the greatest common divisor of 420, 243, 820, 351?

We can find the highest common divisor of 420, 243, 820, 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 420, 243, 820, 351 i.e 1.

3. How can I use the GCD of 420, 243, 820, 351Calculator?

Out the numbers 420, 243, 820, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.