GCD of 138, 730, 186, 542 Calculator

Given Input numbers are 138, 730, 186, 542

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (138, 730, 186, 542) = 2.

Given numbers are 138, 730, 186, 542

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 730 are 2 x 5 x 73

Prime factors of 186 are 2 x 3 x 31

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 138, 730, 186, 542 is 2.

Given numbers are 138, 730, 186, 542

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

Apply this formula for all numbers.

Step1:

LCM(138, 730) = 50370

GCD(138, 730) = ( 138 x 730 ) / 50370

= 138 / 730

= 138

Step2:

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

= 2 / 186

= 2

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 138, 730, 186, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 856, 974, 839
• GCD of 284, 912, 476, 748
• GCD of 334, 626, 131, 579
• GCD of 990, 292, 550, 789
• GCD of 241, 511, 566, 863

Given numbers are 138, 730, 186, 542
The greatest common divisor of numbers 138, 730, 186, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 730, 186, 542 is 2.

1. What is the GCD of 138, 730, 186, 542?

GCD of given numbers 138, 730, 186, 542 is 2

2. How to calculate the greatest common divisor of 138, 730, 186, 542?

We can find the highest common divisor of 138, 730, 186, 542 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, 730, 186, 542 i.e 2.

3. How can I use the GCD of 138, 730, 186, 542Calculator?

Out the numbers 138, 730, 186, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.