GCD of 327, 114, 840, 428 Calculator

Given Input numbers are 327, 114, 840, 428

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (327, 114, 840, 428) = 1.

Given numbers are 327, 114, 840, 428

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 114 are 2 x 3 x 19

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 327, 114, 840, 428

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

Apply this formula for all numbers.

Step1:

LCM(327, 114) = 12426

GCD(327, 114) = ( 327 x 114 ) / 12426

= 327 / 114

= 327

Step2:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

Step3:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3

So, Greatest Common Divisor of 327, 114, 840, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 569, 303, 486
• GCD of 889, 145, 559, 916
• GCD of 787, 252, 835, 443
• GCD of 411, 588, 519, 714
• GCD of 652, 398, 843, 231

Given numbers are 327, 114, 840, 428
The greatest common divisor of numbers 327, 114, 840, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 114, 840, 428 is 1.

1. What is the GCD of 327, 114, 840, 428?

GCD of given numbers 327, 114, 840, 428 is 1

2. How to calculate the greatest common divisor of 327, 114, 840, 428?

We can find the highest common divisor of 327, 114, 840, 428 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, 114, 840, 428 i.e 1.

3. How can I use the GCD of 327, 114, 840, 428Calculator?

Out the numbers 327, 114, 840, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.