GCD of 138, 398, 168, 580 Calculator

Given Input numbers are 138, 398, 168, 580

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 (138, 398, 168, 580) = 2.

Given numbers are 138, 398, 168, 580

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 398 are 2 x 199

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 138, 398, 168, 580 is 2.

Given numbers are 138, 398, 168, 580

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

Apply this formula for all numbers.

Step1:

LCM(138, 398) = 27462

GCD(138, 398) = ( 138 x 398 ) / 27462

= 138 / 398

= 138

Step2:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 138, 398, 168, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 844, 719, 790
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Given numbers are 138, 398, 168, 580
The greatest common divisor of numbers 138, 398, 168, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 398, 168, 580 is 2.

1. What is the GCD of 138, 398, 168, 580?

GCD of given numbers 138, 398, 168, 580 is 2

2. How to calculate the greatest common divisor of 138, 398, 168, 580?

We can find the highest common divisor of 138, 398, 168, 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 138, 398, 168, 580 i.e 2.

3. How can I use the GCD of 138, 398, 168, 580Calculator?

Out the numbers 138, 398, 168, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.