GCD of 538, 148, 508 Calculator

Given Input numbers are 538, 148, 508

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (538, 148, 508) = 2.

Given numbers are 538, 148, 508

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 148 are 2 x 2 x 37

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 538, 148, 508 is 2.

Given numbers are 538, 148, 508

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

Apply this formula for all numbers.

Step1:

LCM(538, 148) = 39812

GCD(538, 148) = ( 538 x 148 ) / 39812

= 538 / 148

= 538

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 538, 148, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 135, 651
• GCD of 804, 757, 674
• GCD of 614, 317, 877
• GCD of 803, 769, 502
• GCD of 532, 552, 861

Given numbers are 538, 148, 508
The greatest common divisor of numbers 538, 148, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 148, 508 is 2.

1. What is the GCD of 538, 148, 508?

GCD of given numbers 538, 148, 508 is 2

2. How to calculate the greatest common divisor of 538, 148, 508?

We can find the highest common divisor of 538, 148, 508 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, 148, 508 i.e 2.

3. How can I use the GCD of 538, 148, 508Calculator?

Out the numbers 538, 148, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.