GCD of 138, 582, 532, 740 Calculator

Given Input numbers are 138, 582, 532, 740

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (138, 582, 532, 740) = 2.

Given numbers are 138, 582, 532, 740

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 582 are 2 x 3 x 97

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 138, 582, 532, 740 is 2.

Given numbers are 138, 582, 532, 740

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

Apply this formula for all numbers.

Step1:

LCM(138, 582) = 13386

GCD(138, 582) = ( 138 x 582 ) / 13386

= 138 / 582

= 138

Step2:

LCM(6, 532) = 1596

GCD(6, 532) = ( 6 x 532 ) / 1596

= 6 / 532

= 6

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 138, 582, 532, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 202, 106, 422
• GCD of 700, 790, 457, 300
• GCD of 388, 752, 513, 269
• GCD of 195, 264, 820, 629
• GCD of 216, 122, 860, 273

Given numbers are 138, 582, 532, 740
The greatest common divisor of numbers 138, 582, 532, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 582, 532, 740 is 2.

1. What is the GCD of 138, 582, 532, 740?

GCD of given numbers 138, 582, 532, 740 is 2

2. How to calculate the greatest common divisor of 138, 582, 532, 740?

We can find the highest common divisor of 138, 582, 532, 740 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, 582, 532, 740 i.e 2.

3. How can I use the GCD of 138, 582, 532, 740Calculator?

Out the numbers 138, 582, 532, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.