GCD of 960, 146, 533, 697 Calculator

Given Input numbers are 960, 146, 533, 697

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

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 960, 146, 533, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 146, 533, 697 is 1.

Therefore, GCD of numbers 960, 146, 533, 697 is 1

Given Input Data is 960, 146, 533, 697

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

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 533 is 13 x 41

Prime Factorization of 697 is 17 x 41

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(960, 146) = 70080

GCD(960, 146) = ( 960 x 146 ) / 70080

GCD(960, 146) = 140160 / 70080

GCD(960, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 960, 146, 533, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 293, 672, 428
• GCD of 583, 816, 901, 697
• GCD of 516, 533, 188, 584
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• GCD of 569, 802, 858, 797

1. What is the GCD of 960, 146, 533, 697?

GCD of 960, 146, 533, 697 is 1

2. Where do I get the detailed procedure to find GCD of 960, 146, 533, 697?

You can find a detailed procedure to find GCD of 960, 146, 533, 697 on our page.

3. How to find GCD of 960, 146, 533, 697 on a calculator?

You can find the GCD of 960, 146, 533, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.