GCD of 538, 132, 138, 460 Calculator

Given Input numbers are 538, 132, 138, 460

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (538, 132, 138, 460) = 2.

Given numbers are 538, 132, 138, 460

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 138 are 2 x 3 x 23

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 538, 132, 138, 460 is 2.

Given numbers are 538, 132, 138, 460

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

Apply this formula for all numbers.

Step1:

LCM(538, 132) = 35508

GCD(538, 132) = ( 538 x 132 ) / 35508

= 538 / 132

= 538

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 538, 132, 138, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 729, 403, 289
• GCD of 941, 266, 985, 602
• GCD of 261, 737, 942, 140
• GCD of 433, 443, 100, 617
• GCD of 708, 187, 642, 170

Given numbers are 538, 132, 138, 460
The greatest common divisor of numbers 538, 132, 138, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 132, 138, 460 is 2.

1. What is the GCD of 538, 132, 138, 460?

GCD of given numbers 538, 132, 138, 460 is 2

2. How to calculate the greatest common divisor of 538, 132, 138, 460?

We can find the highest common divisor of 538, 132, 138, 460 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, 132, 138, 460 i.e 2.

3. How can I use the GCD of 538, 132, 138, 460Calculator?

Out the numbers 538, 132, 138, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.