GCD of 420, 504, 259, 307 Calculator

Given Input numbers are 420, 504, 259, 307

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 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

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (420, 504, 259, 307) = 1.

Given numbers are 420, 504, 259, 307

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 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 259 are 7 x 37

Prime factors of 307 are 307

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

Given numbers are 420, 504, 259, 307

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

Apply this formula for all numbers.

Step1:

LCM(420, 504) = 2520

GCD(420, 504) = ( 420 x 504 ) / 2520

= 420 / 504

= 420

Step2:

LCM(84, 259) = 3108

GCD(84, 259) = ( 84 x 259 ) / 3108

= 84 / 259

= 84

Step3:

LCM(7, 307) = 2149

GCD(7, 307) = ( 7 x 307 ) / 2149

= 7 / 307

= 7

So, Greatest Common Divisor of 420, 504, 259, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 961, 933, 504
• GCD of 767, 576, 805, 225
• GCD of 513, 820, 514, 589
• GCD of 575, 872, 297, 768
• GCD of 832, 359, 283, 319

Given numbers are 420, 504, 259, 307
The greatest common divisor of numbers 420, 504, 259, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 504, 259, 307 is 1.

1. What is the GCD of 420, 504, 259, 307?

GCD of given numbers 420, 504, 259, 307 is 1

2. How to calculate the greatest common divisor of 420, 504, 259, 307?

We can find the highest common divisor of 420, 504, 259, 307 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, 504, 259, 307 i.e 1.

3. How can I use the GCD of 420, 504, 259, 307Calculator?

Out the numbers 420, 504, 259, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.