GCD of 508, 284, 147, 360 Calculator

Given Input numbers are 508, 284, 147, 360

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 284 :

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

1, 2, 4, 71, 142, 284

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (508, 284, 147, 360) = 1.

Given numbers are 508, 284, 147, 360

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 284 are 2 x 2 x 71

Prime factors of 147 are 3 x 7 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 508, 284, 147, 360

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

Apply this formula for all numbers.

Step1:

LCM(508, 284) = 36068

GCD(508, 284) = ( 508 x 284 ) / 36068

= 508 / 284

= 508

Step2:

LCM(4, 147) = 588

GCD(4, 147) = ( 4 x 147 ) / 588

= 4 / 147

= 4

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 508, 284, 147, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 144, 282, 633
• GCD of 525, 703, 752, 872
• GCD of 220, 683, 729, 350
• GCD of 536, 849, 347, 726
• GCD of 777, 437, 558, 493

Given numbers are 508, 284, 147, 360
The greatest common divisor of numbers 508, 284, 147, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 284, 147, 360 is 1.

1. What is the GCD of 508, 284, 147, 360?

GCD of given numbers 508, 284, 147, 360 is 1

2. How to calculate the greatest common divisor of 508, 284, 147, 360?

We can find the highest common divisor of 508, 284, 147, 360 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 508, 284, 147, 360 i.e 1.

3. How can I use the GCD of 508, 284, 147, 360Calculator?

Out the numbers 508, 284, 147, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.