GCD of 103, 489, 153, 420 Calculator

Given Input numbers are 103, 489, 153, 420

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

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

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

GCD of numbers is the greatest common divisor

So, the GCD (103, 489, 153, 420) = 1.

Given numbers are 103, 489, 153, 420

The list of prime factors of all numbers are

Prime factors of 103 are 103

Prime factors of 489 are 3 x 163

Prime factors of 153 are 3 x 3 x 17

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

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

Given numbers are 103, 489, 153, 420

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

Apply this formula for all numbers.

Step1:

LCM(103, 489) = 50367

GCD(103, 489) = ( 103 x 489 ) / 50367

= 103 / 489

= 103

Step2:

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

= 1 / 153

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 103, 489, 153, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 713, 855, 201
• GCD of 343, 131, 323, 463
• GCD of 747, 655, 800, 481
• GCD of 591, 853, 402, 919
• GCD of 686, 806, 219, 474

Given numbers are 103, 489, 153, 420
The greatest common divisor of numbers 103, 489, 153, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 489, 153, 420 is 1.

1. What is the GCD of 103, 489, 153, 420?

GCD of given numbers 103, 489, 153, 420 is 1

2. How to calculate the greatest common divisor of 103, 489, 153, 420?

We can find the highest common divisor of 103, 489, 153, 420 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 103, 489, 153, 420 i.e 1.

3. How can I use the GCD of 103, 489, 153, 420Calculator?

Out the numbers 103, 489, 153, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.