GCD of 538, 508, 305, 300 Calculator

Given Input numbers are 538, 508, 305, 300

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (538, 508, 305, 300) = 1.

Given numbers are 538, 508, 305, 300

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 508 are 2 x 2 x 127

Prime factors of 305 are 5 x 61

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 538, 508, 305, 300

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

Apply this formula for all numbers.

Step1:

LCM(538, 508) = 136652

GCD(538, 508) = ( 538 x 508 ) / 136652

= 538 / 508

= 538

Step2:

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

= 2 / 305

= 2

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 538, 508, 305, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 540, 901, 947
• GCD of 400, 385, 962, 508
• GCD of 196, 980, 669, 780
• GCD of 857, 189, 781, 903
• GCD of 562, 863, 926, 740

Given numbers are 538, 508, 305, 300
The greatest common divisor of numbers 538, 508, 305, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 508, 305, 300 is 1.

1. What is the GCD of 538, 508, 305, 300?

GCD of given numbers 538, 508, 305, 300 is 1

2. How to calculate the greatest common divisor of 538, 508, 305, 300?

We can find the highest common divisor of 538, 508, 305, 300 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 538, 508, 305, 300 i.e 1.

3. How can I use the GCD of 538, 508, 305, 300Calculator?

Out the numbers 538, 508, 305, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.