GCD of 327, 420, 475, 759 Calculator

Given Input numbers are 327, 420, 475, 759

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (327, 420, 475, 759) = 1.

Given numbers are 327, 420, 475, 759

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

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

Prime factors of 475 are 5 x 5 x 19

Prime factors of 759 are 3 x 11 x 23

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

Given numbers are 327, 420, 475, 759

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

Apply this formula for all numbers.

Step1:

LCM(327, 420) = 45780

GCD(327, 420) = ( 327 x 420 ) / 45780

= 327 / 420

= 327

Step2:

LCM(3, 475) = 1425

GCD(3, 475) = ( 3 x 475 ) / 1425

= 3 / 475

= 3

Step3:

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

= 1 / 759

= 1

So, Greatest Common Divisor of 327, 420, 475, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 294, 744, 348
• GCD of 696, 528, 416, 784
• GCD of 465, 941, 835, 208
• GCD of 330, 369, 494, 445
• GCD of 192, 213, 672, 762

Given numbers are 327, 420, 475, 759
The greatest common divisor of numbers 327, 420, 475, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 420, 475, 759 is 1.

1. What is the GCD of 327, 420, 475, 759?

GCD of given numbers 327, 420, 475, 759 is 1

2. How to calculate the greatest common divisor of 327, 420, 475, 759?

We can find the highest common divisor of 327, 420, 475, 759 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 327, 420, 475, 759 i.e 1.

3. How can I use the GCD of 327, 420, 475, 759Calculator?

Out the numbers 327, 420, 475, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.