GCD of 530, 794, 112, 138 Calculator

Given Input numbers are 530, 794, 112, 138

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (530, 794, 112, 138) = 2.

Given numbers are 530, 794, 112, 138

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 794 are 2 x 397

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 530, 794, 112, 138 is 2.

Given numbers are 530, 794, 112, 138

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

Apply this formula for all numbers.

Step1:

LCM(530, 794) = 210410

GCD(530, 794) = ( 530 x 794 ) / 210410

= 530 / 794

= 530

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 530, 794, 112, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 577, 468, 610
• GCD of 616, 377, 213, 317
• GCD of 898, 425, 341, 639
• GCD of 432, 855, 359, 578
• GCD of 183, 482, 558, 469

Given numbers are 530, 794, 112, 138
The greatest common divisor of numbers 530, 794, 112, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 794, 112, 138 is 2.

1. What is the GCD of 530, 794, 112, 138?

GCD of given numbers 530, 794, 112, 138 is 2

2. How to calculate the greatest common divisor of 530, 794, 112, 138?

We can find the highest common divisor of 530, 794, 112, 138 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 530, 794, 112, 138 i.e 2.

3. How can I use the GCD of 530, 794, 112, 138Calculator?

Out the numbers 530, 794, 112, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.