GCD of 130, 360, 996, 548 Calculator

Given Input numbers are 130, 360, 996, 548

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (130, 360, 996, 548) = 2.

Given numbers are 130, 360, 996, 548

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 130, 360, 996, 548 is 2.

Given numbers are 130, 360, 996, 548

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

Apply this formula for all numbers.

Step1:

LCM(130, 360) = 4680

GCD(130, 360) = ( 130 x 360 ) / 4680

= 130 / 360

= 130

Step2:

LCM(10, 996) = 4980

GCD(10, 996) = ( 10 x 996 ) / 4980

= 10 / 996

= 10

Step3:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

So, Greatest Common Divisor of 130, 360, 996, 548 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 822, 948, 820
• GCD of 336, 823, 264, 489
• GCD of 776, 978, 564, 659
• GCD of 515, 813, 368, 993
• GCD of 814, 540, 682, 154

Given numbers are 130, 360, 996, 548
The greatest common divisor of numbers 130, 360, 996, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 360, 996, 548 is 2.

1. What is the GCD of 130, 360, 996, 548?

GCD of given numbers 130, 360, 996, 548 is 2

2. How to calculate the greatest common divisor of 130, 360, 996, 548?

We can find the highest common divisor of 130, 360, 996, 548 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, 360, 996, 548 i.e 2.

3. How can I use the GCD of 130, 360, 996, 548Calculator?

Out the numbers 130, 360, 996, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.