GCD of 420, 393, 614, 786 Calculator

Given Input numbers are 420, 393, 614, 786

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 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (420, 393, 614, 786) = 1.

Given numbers are 420, 393, 614, 786

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 393 are 3 x 131

Prime factors of 614 are 2 x 307

Prime factors of 786 are 2 x 3 x 131

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

Given numbers are 420, 393, 614, 786

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

Apply this formula for all numbers.

Step1:

LCM(420, 393) = 55020

GCD(420, 393) = ( 420 x 393 ) / 55020

= 420 / 393

= 420

Step2:

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

= 3 / 614

= 3

Step3:

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

= 1 / 786

= 1

So, Greatest Common Divisor of 420, 393, 614, 786 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 267, 769, 252
• GCD of 971, 855, 972, 447
• GCD of 986, 910, 141, 527
• GCD of 442, 579, 696, 867
• GCD of 494, 323, 668, 693

Given numbers are 420, 393, 614, 786
The greatest common divisor of numbers 420, 393, 614, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 393, 614, 786 is 1.

1. What is the GCD of 420, 393, 614, 786?

GCD of given numbers 420, 393, 614, 786 is 1

2. How to calculate the greatest common divisor of 420, 393, 614, 786?

We can find the highest common divisor of 420, 393, 614, 786 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, 393, 614, 786 i.e 1.

3. How can I use the GCD of 420, 393, 614, 786Calculator?

Out the numbers 420, 393, 614, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.