GCD of 138, 760, 784, 186 Calculator

Given Input numbers are 138, 760, 784, 186

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 186 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (138, 760, 784, 186) = 2.

Given numbers are 138, 760, 784, 186

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 186 are 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 138, 760, 784, 186 is 2.

Given numbers are 138, 760, 784, 186

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

Apply this formula for all numbers.

Step1:

LCM(138, 760) = 52440

GCD(138, 760) = ( 138 x 760 ) / 52440

= 138 / 760

= 138

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 186) = 186

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

= 2 / 186

= 2

So, Greatest Common Divisor of 138, 760, 784, 186 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 752, 463, 281
• GCD of 210, 455, 143, 613
• GCD of 566, 434, 966, 417
• GCD of 847, 948, 921, 457
• GCD of 529, 260, 865, 909

Given numbers are 138, 760, 784, 186
The greatest common divisor of numbers 138, 760, 784, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 760, 784, 186 is 2.

1. What is the GCD of 138, 760, 784, 186?

GCD of given numbers 138, 760, 784, 186 is 2

2. How to calculate the greatest common divisor of 138, 760, 784, 186?

We can find the highest common divisor of 138, 760, 784, 186 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, 760, 784, 186 i.e 2.

3. How can I use the GCD of 138, 760, 784, 186Calculator?

Out the numbers 138, 760, 784, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.