GCD of 420, 513, 822, 838 Calculator

Given Input numbers are 420, 513, 822, 838

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (420, 513, 822, 838) = 1.

Given numbers are 420, 513, 822, 838

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 513 are 3 x 3 x 3 x 19

Prime factors of 822 are 2 x 3 x 137

Prime factors of 838 are 2 x 419

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

Given numbers are 420, 513, 822, 838

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

Apply this formula for all numbers.

Step1:

LCM(420, 513) = 71820

GCD(420, 513) = ( 420 x 513 ) / 71820

= 420 / 513

= 420

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

= 3 / 838

= 3

So, Greatest Common Divisor of 420, 513, 822, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 573, 766, 406
• GCD of 173, 533, 180, 263
• GCD of 351, 250, 657, 955
• GCD of 245, 953, 176, 547
• GCD of 879, 931, 478, 396

Given numbers are 420, 513, 822, 838
The greatest common divisor of numbers 420, 513, 822, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 513, 822, 838 is 1.

1. What is the GCD of 420, 513, 822, 838?

GCD of given numbers 420, 513, 822, 838 is 1

2. How to calculate the greatest common divisor of 420, 513, 822, 838?

We can find the highest common divisor of 420, 513, 822, 838 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, 513, 822, 838 i.e 1.

3. How can I use the GCD of 420, 513, 822, 838Calculator?

Out the numbers 420, 513, 822, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.