GCD of 963, 784, 53, 840 Calculator

Given Input numbers are 963, 784, 53, 840

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

Divisors of 963

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

1, 3, 9, 107, 321, 963

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 963, 784, 53, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 784, 53, 840 is 1.

Therefore, GCD of numbers 963, 784, 53, 840 is 1

Given Input Data is 963, 784, 53, 840

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 53 is 53

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(963, 784) = 754992

GCD(963, 784) = ( 963 x 784 ) / 754992

GCD(963, 784) = 754992 / 754992

GCD(963, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 963, 784, 53, 840 is 1

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1. What is the GCD of 963, 784, 53, 840?

GCD of 963, 784, 53, 840 is 1

2. Where do I get the detailed procedure to find GCD of 963, 784, 53, 840?

You can find a detailed procedure to find GCD of 963, 784, 53, 840 on our page.

3. How to find GCD of 963, 784, 53, 840 on a calculator?

You can find the GCD of 963, 784, 53, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.