GCD of 138, 736, 878, 130 Calculator

Given Input numbers are 138, 736, 878, 130

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (138, 736, 878, 130) = 2.

Given numbers are 138, 736, 878, 130

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 878 are 2 x 439

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 138, 736, 878, 130 is 2.

Given numbers are 138, 736, 878, 130

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

Apply this formula for all numbers.

Step1:

LCM(138, 736) = 2208

GCD(138, 736) = ( 138 x 736 ) / 2208

= 138 / 736

= 138

Step2:

LCM(46, 878) = 20194

GCD(46, 878) = ( 46 x 878 ) / 20194

= 46 / 878

= 46

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 138, 736, 878, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 811, 306, 928
• GCD of 734, 796, 237, 736
• GCD of 538, 339, 307, 580
• GCD of 308, 510, 531, 205
• GCD of 870, 322, 428, 690

Given numbers are 138, 736, 878, 130
The greatest common divisor of numbers 138, 736, 878, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 736, 878, 130 is 2.

1. What is the GCD of 138, 736, 878, 130?

GCD of given numbers 138, 736, 878, 130 is 2

2. How to calculate the greatest common divisor of 138, 736, 878, 130?

We can find the highest common divisor of 138, 736, 878, 130 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, 736, 878, 130 i.e 2.

3. How can I use the GCD of 138, 736, 878, 130Calculator?

Out the numbers 138, 736, 878, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.