GCD of 130, 322, 584, 942 Calculator

Given Input numbers are 130, 322, 584, 942

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (130, 322, 584, 942) = 2.

Given numbers are 130, 322, 584, 942

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 584 are 2 x 2 x 2 x 73

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 130, 322, 584, 942 is 2.

Given numbers are 130, 322, 584, 942

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, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 130, 322, 584, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 997, 705, 463
• GCD of 603, 935, 352, 203
• GCD of 584, 515, 238, 127
• GCD of 823, 937, 582, 621
• GCD of 843, 204, 204, 496

Given numbers are 130, 322, 584, 942
The greatest common divisor of numbers 130, 322, 584, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 322, 584, 942 is 2.

1. What is the GCD of 130, 322, 584, 942?

GCD of given numbers 130, 322, 584, 942 is 2

2. How to calculate the greatest common divisor of 130, 322, 584, 942?

We can find the highest common divisor of 130, 322, 584, 942 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, 584, 942 i.e 2.

3. How can I use the GCD of 130, 322, 584, 942Calculator?

Out the numbers 130, 322, 584, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.