GCD of 65, 760, 112, 963 Calculator

Given Input numbers are 65, 760, 112, 963

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 65, 760, 112, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 760, 112, 963 is 1.

Therefore, GCD of numbers 65, 760, 112, 963 is 1

Given Input Data is 65, 760, 112, 963

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 65 is 5 x 13

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 963 is 3 x 3 x 107

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(65, 760) = 9880

GCD(65, 760) = ( 65 x 760 ) / 9880

GCD(65, 760) = 49400 / 9880

GCD(65, 760) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 112

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

LCM(5, 112) = 560

GCD(5, 112) = ( 5 x 112 ) / 560

GCD(5, 112) = 560 / 560

GCD(5, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 65, 760, 112, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 153, 798, 424
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• GCD of 29, 142, 683, 862

1. What is the GCD of 65, 760, 112, 963?

GCD of 65, 760, 112, 963 is 1

2. Where do I get the detailed procedure to find GCD of 65, 760, 112, 963?

You can find a detailed procedure to find GCD of 65, 760, 112, 963 on our page.

3. How to find GCD of 65, 760, 112, 963 on a calculator?

You can find the GCD of 65, 760, 112, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.