GCD of 827, 284, 503, 120 Calculator

Given Input numbers are 827, 284, 503, 120

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (827, 284, 503, 120) = 1.

Given numbers are 827, 284, 503, 120

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 284 are 2 x 2 x 71

Prime factors of 503 are 503

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 827, 284, 503, 120

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

Apply this formula for all numbers.

Step1:

LCM(827, 284) = 234868

GCD(827, 284) = ( 827 x 284 ) / 234868

= 827 / 284

= 827

Step2:

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

= 1 / 503

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 827, 284, 503, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 806, 410, 817
• GCD of 925, 232, 275, 388
• GCD of 745, 645, 909, 504
• GCD of 459, 324, 180, 771
• GCD of 984, 524, 570, 324

Given numbers are 827, 284, 503, 120
The greatest common divisor of numbers 827, 284, 503, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 284, 503, 120 is 1.

1. What is the GCD of 827, 284, 503, 120?

GCD of given numbers 827, 284, 503, 120 is 1

2. How to calculate the greatest common divisor of 827, 284, 503, 120?

We can find the highest common divisor of 827, 284, 503, 120 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 827, 284, 503, 120 i.e 1.

3. How can I use the GCD of 827, 284, 503, 120Calculator?

Out the numbers 827, 284, 503, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.