GCD of 925, 172, 564, 688 Calculator

Given Input numbers are 925, 172, 564, 688

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 925, 172, 564, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 172, 564, 688 is 1.

Therefore, GCD of numbers 925, 172, 564, 688 is 1

Given Input Data is 925, 172, 564, 688

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(925, 172) = 159100

GCD(925, 172) = ( 925 x 172 ) / 159100

GCD(925, 172) = 159100 / 159100

GCD(925, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 925, 172, 564, 688 is 1

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1. What is the GCD of 925, 172, 564, 688?

GCD of 925, 172, 564, 688 is 1

2. Where do I get the detailed procedure to find GCD of 925, 172, 564, 688?

You can find a detailed procedure to find GCD of 925, 172, 564, 688 on our page.

3. How to find GCD of 925, 172, 564, 688 on a calculator?

You can find the GCD of 925, 172, 564, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.