GCD of 696, 753, 946, 625 Calculator

Given Input numbers are 696, 753, 946, 625

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 696, 753, 946, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 753, 946, 625 is 1.

Therefore, GCD of numbers 696, 753, 946, 625 is 1

Given Input Data is 696, 753, 946, 625

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 753 is 3 x 251

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 625 is 5 x 5 x 5 x 5

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(696, 753) = 174696

GCD(696, 753) = ( 696 x 753 ) / 174696

GCD(696, 753) = 524088 / 174696

GCD(696, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 946

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

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

GCD(3, 946) = 2838 / 2838

GCD(3, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

GCD of 696, 753, 946, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 745, 360, 403
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• GCD of 781, 653, 317, 601

1. What is the GCD of 696, 753, 946, 625?

GCD of 696, 753, 946, 625 is 1

2. Where do I get the detailed procedure to find GCD of 696, 753, 946, 625?

You can find a detailed procedure to find GCD of 696, 753, 946, 625 on our page.

3. How to find GCD of 696, 753, 946, 625 on a calculator?

You can find the GCD of 696, 753, 946, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.