GCD of 138, 832, 280, 506 Calculator

Given Input numbers are 138, 832, 280, 506

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

Divisors of 138 :

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

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (138, 832, 280, 506) = 2.

Given numbers are 138, 832, 280, 506

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 138, 832, 280, 506 is 2.

Given numbers are 138, 832, 280, 506

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

Apply this formula for all numbers.

Step1:

LCM(138, 832) = 57408

GCD(138, 832) = ( 138 x 832 ) / 57408

= 138 / 832

= 138

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 138, 832, 280, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 455, 629, 527
• GCD of 652, 788, 765, 177
• GCD of 455, 865, 812, 199
• GCD of 416, 485, 146, 586
• GCD of 397, 860, 631, 884

Given numbers are 138, 832, 280, 506
The greatest common divisor of numbers 138, 832, 280, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 832, 280, 506 is 2.

1. What is the GCD of 138, 832, 280, 506?

GCD of given numbers 138, 832, 280, 506 is 2

2. How to calculate the greatest common divisor of 138, 832, 280, 506?

We can find the highest common divisor of 138, 832, 280, 506 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 138, 832, 280, 506 i.e 2.

3. How can I use the GCD of 138, 832, 280, 506Calculator?

Out the numbers 138, 832, 280, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.