GCD of 453, 960, 66, 706 Calculator

Given Input numbers are 453, 960, 66, 706

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 453, 960, 66, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 960, 66, 706 is 1.

Therefore, GCD of numbers 453, 960, 66, 706 is 1

Given Input Data is 453, 960, 66, 706

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 706 is 2 x 353

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(453, 960) = 144960

GCD(453, 960) = ( 453 x 960 ) / 144960

GCD(453, 960) = 434880 / 144960

GCD(453, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 706

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

LCM(3, 706) = 2118

GCD(3, 706) = ( 3 x 706 ) / 2118

GCD(3, 706) = 2118 / 2118

GCD(3, 706) = 1

GCD of 453, 960, 66, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 906, 67, 153
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• GCD of 520, 125, 38, 240
• GCD of 429, 959, 55, 524
• GCD of 860, 615, 39, 740

1. What is the GCD of 453, 960, 66, 706?

GCD of 453, 960, 66, 706 is 1

2. Where do I get the detailed procedure to find GCD of 453, 960, 66, 706?

You can find a detailed procedure to find GCD of 453, 960, 66, 706 on our page.

3. How to find GCD of 453, 960, 66, 706 on a calculator?

You can find the GCD of 453, 960, 66, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.