GCD of 102, 138, 792, 580 Calculator

Given Input numbers are 102, 138, 792, 580

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 138 :

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

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (102, 138, 792, 580) = 2.

Given numbers are 102, 138, 792, 580

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 138 are 2 x 3 x 23

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 102, 138, 792, 580 is 2.

Given numbers are 102, 138, 792, 580

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

Apply this formula for all numbers.

Step1:

LCM(102, 138) = 2346

GCD(102, 138) = ( 102 x 138 ) / 2346

= 102 / 138

= 102

Step2:

LCM(6, 792) = 792

GCD(6, 792) = ( 6 x 792 ) / 792

= 6 / 792

= 6

Step3:

LCM(6, 580) = 1740

GCD(6, 580) = ( 6 x 580 ) / 1740

= 6 / 580

= 6

So, Greatest Common Divisor of 102, 138, 792, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 670, 216, 873
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Given numbers are 102, 138, 792, 580
The greatest common divisor of numbers 102, 138, 792, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 138, 792, 580 is 2.

1. What is the GCD of 102, 138, 792, 580?

GCD of given numbers 102, 138, 792, 580 is 2

2. How to calculate the greatest common divisor of 102, 138, 792, 580?

We can find the highest common divisor of 102, 138, 792, 580 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 102, 138, 792, 580 i.e 2.

3. How can I use the GCD of 102, 138, 792, 580Calculator?

Out the numbers 102, 138, 792, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.