GCD of 138, 702, 192, 159 Calculator

Given Input numbers are 138, 702, 192, 159

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (138, 702, 192, 159) = 3.

Given numbers are 138, 702, 192, 159

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 138, 702, 192, 159 is 3.

Given numbers are 138, 702, 192, 159

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

Apply this formula for all numbers.

Step1:

LCM(138, 702) = 16146

GCD(138, 702) = ( 138 x 702 ) / 16146

= 138 / 702

= 138

Step2:

LCM(6, 192) = 192

GCD(6, 192) = ( 6 x 192 ) / 192

= 6 / 192

= 6

Step3:

LCM(6, 159) = 318

GCD(6, 159) = ( 6 x 159 ) / 318

= 6 / 159

= 6

So, Greatest Common Divisor of 138, 702, 192, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 782, 594, 787
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• GCD of 477, 630, 573, 318
• GCD of 589, 629, 221, 955

Given numbers are 138, 702, 192, 159
The greatest common divisor of numbers 138, 702, 192, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 702, 192, 159 is 3.

1. What is the GCD of 138, 702, 192, 159?

GCD of given numbers 138, 702, 192, 159 is 3

2. How to calculate the greatest common divisor of 138, 702, 192, 159?

We can find the highest common divisor of 138, 702, 192, 159 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, 702, 192, 159 i.e 3.

3. How can I use the GCD of 138, 702, 192, 159Calculator?

Out the numbers 138, 702, 192, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.