GCD of 130, 920, 536, 656 Calculator

Given Input numbers are 130, 920, 536, 656

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (130, 920, 536, 656) = 2.

Given numbers are 130, 920, 536, 656

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 130, 920, 536, 656 is 2.

Given numbers are 130, 920, 536, 656

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

Apply this formula for all numbers.

Step1:

LCM(130, 920) = 11960

GCD(130, 920) = ( 130 x 920 ) / 11960

= 130 / 920

= 130

Step2:

LCM(10, 536) = 2680

GCD(10, 536) = ( 10 x 536 ) / 2680

= 10 / 536

= 10

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 130, 920, 536, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 746, 464, 536
• GCD of 644, 459, 579, 738
• GCD of 480, 730, 211, 512
• GCD of 815, 292, 782, 927
• GCD of 799, 756, 177, 144

Given numbers are 130, 920, 536, 656
The greatest common divisor of numbers 130, 920, 536, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 920, 536, 656 is 2.

1. What is the GCD of 130, 920, 536, 656?

GCD of given numbers 130, 920, 536, 656 is 2

2. How to calculate the greatest common divisor of 130, 920, 536, 656?

We can find the highest common divisor of 130, 920, 536, 656 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, 920, 536, 656 i.e 2.

3. How can I use the GCD of 130, 920, 536, 656Calculator?

Out the numbers 130, 920, 536, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.