GCD of 966, 402, 96, 653 Calculator

Given Input numbers are 966, 402, 96, 653

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 966, 402, 96, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 402, 96, 653 is 1.

Therefore, GCD of numbers 966, 402, 96, 653 is 1

Given Input Data is 966, 402, 96, 653

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 653 is 653

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(966, 402) = 64722

GCD(966, 402) = ( 966 x 402 ) / 64722

GCD(966, 402) = 388332 / 64722

GCD(966, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 96

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

LCM(6, 96) = 96

GCD(6, 96) = ( 6 x 96 ) / 96

GCD(6, 96) = 576 / 96

GCD(6, 96) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 653

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

LCM(6, 653) = 3918

GCD(6, 653) = ( 6 x 653 ) / 3918

GCD(6, 653) = 3918 / 3918

GCD(6, 653) = 1

GCD of 966, 402, 96, 653 is 1

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1. What is the GCD of 966, 402, 96, 653?

GCD of 966, 402, 96, 653 is 1

2. Where do I get the detailed procedure to find GCD of 966, 402, 96, 653?

You can find a detailed procedure to find GCD of 966, 402, 96, 653 on our page.

3. How to find GCD of 966, 402, 96, 653 on a calculator?

You can find the GCD of 966, 402, 96, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.