GCD of 130, 712, 578, 135 Calculator

Given Input numbers are 130, 712, 578, 135

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (130, 712, 578, 135) = 1.

Given numbers are 130, 712, 578, 135

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 578 are 2 x 17 x 17

Prime factors of 135 are 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 130, 712, 578, 135

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

Apply this formula for all numbers.

Step1:

LCM(130, 712) = 46280

GCD(130, 712) = ( 130 x 712 ) / 46280

= 130 / 712

= 130

Step2:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

So, Greatest Common Divisor of 130, 712, 578, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 266, 431, 911
• GCD of 239, 908, 941, 301
• GCD of 314, 374, 320, 459
• GCD of 708, 929, 570, 393
• GCD of 460, 774, 715, 475

Given numbers are 130, 712, 578, 135
The greatest common divisor of numbers 130, 712, 578, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 712, 578, 135 is 1.

1. What is the GCD of 130, 712, 578, 135?

GCD of given numbers 130, 712, 578, 135 is 1

2. How to calculate the greatest common divisor of 130, 712, 578, 135?

We can find the highest common divisor of 130, 712, 578, 135 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, 712, 578, 135 i.e 1.

3. How can I use the GCD of 130, 712, 578, 135Calculator?

Out the numbers 130, 712, 578, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.