GCD of 130, 896, 35, 492 Calculator

Given Input numbers are 130, 896, 35, 492

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (130, 896, 35, 492) = 1.

Given numbers are 130, 896, 35, 492

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 35 are 5 x 7

Prime factors of 492 are 2 x 2 x 3 x 41

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

Given numbers are 130, 896, 35, 492

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

Apply this formula for all numbers.

Step1:

LCM(130, 896) = 58240

GCD(130, 896) = ( 130 x 896 ) / 58240

= 130 / 896

= 130

Step2:

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

= 2 / 35

= 2

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 130, 896, 35, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 687, 35, 640
• GCD of 718, 743, 62, 949
• GCD of 267, 123, 12, 352
• GCD of 618, 161, 18, 431
• GCD of 214, 953, 80, 547

Given numbers are 130, 896, 35, 492
The greatest common divisor of numbers 130, 896, 35, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 896, 35, 492 is 1.

1. What is the GCD of 130, 896, 35, 492?

GCD of given numbers 130, 896, 35, 492 is 1

2. How to calculate the greatest common divisor of 130, 896, 35, 492?

We can find the highest common divisor of 130, 896, 35, 492 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, 896, 35, 492 i.e 1.

3. How can I use the GCD of 130, 896, 35, 492Calculator?

Out the numbers 130, 896, 35, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.