GCD of 130, 310, 896, 311 Calculator

Given Input numbers are 130, 310, 896, 311

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

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 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (130, 310, 896, 311) = 1.

Given numbers are 130, 310, 896, 311

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 310 are 2 x 5 x 31

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

Prime factors of 311 are 311

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

Given numbers are 130, 310, 896, 311

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

Apply this formula for all numbers.

Step1:

LCM(130, 310) = 4030

GCD(130, 310) = ( 130 x 310 ) / 4030

= 130 / 310

= 130

Step2:

LCM(10, 896) = 4480

GCD(10, 896) = ( 10 x 896 ) / 4480

= 10 / 896

= 10

Step3:

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

= 2 / 311

= 2

So, Greatest Common Divisor of 130, 310, 896, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 970, 237, 132
• GCD of 567, 416, 303, 830
• GCD of 796, 374, 788, 639
• GCD of 946, 763, 871, 425
• GCD of 171, 922, 586, 457

Given numbers are 130, 310, 896, 311
The greatest common divisor of numbers 130, 310, 896, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 310, 896, 311 is 1.

1. What is the GCD of 130, 310, 896, 311?

GCD of given numbers 130, 310, 896, 311 is 1

2. How to calculate the greatest common divisor of 130, 310, 896, 311?

We can find the highest common divisor of 130, 310, 896, 311 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, 310, 896, 311 i.e 1.

3. How can I use the GCD of 130, 310, 896, 311Calculator?

Out the numbers 130, 310, 896, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.