GCD of 357, 296, 819, 420 Calculator

Given Input numbers are 357, 296, 819, 420

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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

GCD of numbers is the greatest common divisor

So, the GCD (357, 296, 819, 420) = 1.

Given numbers are 357, 296, 819, 420

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 819 are 3 x 3 x 7 x 13

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

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

Given numbers are 357, 296, 819, 420

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

Apply this formula for all numbers.

Step1:

LCM(357, 296) = 105672

GCD(357, 296) = ( 357 x 296 ) / 105672

= 357 / 296

= 357

Step2:

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

= 1 / 819

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 357, 296, 819, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 529, 736, 141
• GCD of 624, 597, 391, 102
• GCD of 501, 915, 993, 515
• GCD of 240, 150, 860, 663
• GCD of 976, 904, 895, 744

Given numbers are 357, 296, 819, 420
The greatest common divisor of numbers 357, 296, 819, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 296, 819, 420 is 1.

1. What is the GCD of 357, 296, 819, 420?

GCD of given numbers 357, 296, 819, 420 is 1

2. How to calculate the greatest common divisor of 357, 296, 819, 420?

We can find the highest common divisor of 357, 296, 819, 420 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 357, 296, 819, 420 i.e 1.

3. How can I use the GCD of 357, 296, 819, 420Calculator?

Out the numbers 357, 296, 819, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.