GCD of 130, 322, 812, 940 Calculator

Given Input numbers are 130, 322, 812, 940

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (130, 322, 812, 940) = 2.

Given numbers are 130, 322, 812, 940

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 322 are 2 x 7 x 23

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 130, 322, 812, 940 is 2.

Given numbers are 130, 322, 812, 940

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

Apply this formula for all numbers.

Step1:

LCM(130, 322) = 20930

GCD(130, 322) = ( 130 x 322 ) / 20930

= 130 / 322

= 130

Step2:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 130, 322, 812, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 530, 143, 192
• GCD of 463, 918, 900, 750
• GCD of 776, 268, 451, 649
• GCD of 148, 902, 882, 826
• GCD of 353, 570, 662, 752

Given numbers are 130, 322, 812, 940
The greatest common divisor of numbers 130, 322, 812, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 322, 812, 940 is 2.

1. What is the GCD of 130, 322, 812, 940?

GCD of given numbers 130, 322, 812, 940 is 2

2. How to calculate the greatest common divisor of 130, 322, 812, 940?

We can find the highest common divisor of 130, 322, 812, 940 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 130, 322, 812, 940 i.e 2.

3. How can I use the GCD of 130, 322, 812, 940Calculator?

Out the numbers 130, 322, 812, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.