GCD of 420, 705, 842, 504 Calculator

Given Input numbers are 420, 705, 842, 504

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (420, 705, 842, 504) = 1.

Given numbers are 420, 705, 842, 504

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 705 are 3 x 5 x 47

Prime factors of 842 are 2 x 421

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Given numbers are 420, 705, 842, 504

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

Apply this formula for all numbers.

Step1:

LCM(420, 705) = 19740

GCD(420, 705) = ( 420 x 705 ) / 19740

= 420 / 705

= 420

Step2:

LCM(15, 842) = 12630

GCD(15, 842) = ( 15 x 842 ) / 12630

= 15 / 842

= 15

Step3:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

So, Greatest Common Divisor of 420, 705, 842, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 752, 560, 452
• GCD of 240, 983, 849, 582
• GCD of 356, 188, 514, 619
• GCD of 129, 765, 783, 143
• GCD of 165, 651, 658, 445

Given numbers are 420, 705, 842, 504
The greatest common divisor of numbers 420, 705, 842, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 705, 842, 504 is 1.

1. What is the GCD of 420, 705, 842, 504?

GCD of given numbers 420, 705, 842, 504 is 1

2. How to calculate the greatest common divisor of 420, 705, 842, 504?

We can find the highest common divisor of 420, 705, 842, 504 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, 705, 842, 504 i.e 1.

3. How can I use the GCD of 420, 705, 842, 504Calculator?

Out the numbers 420, 705, 842, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.