GCD of 690, 987, 305, 925 Calculator

Given Input numbers are 690, 987, 305, 925

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 925

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

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 690, 987, 305, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 987, 305, 925 is 1.

Therefore, GCD of numbers 690, 987, 305, 925 is 1

Given Input Data is 690, 987, 305, 925

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 305 is 5 x 61

Prime Factorization of 925 is 5 x 5 x 37

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(690, 987) = 227010

GCD(690, 987) = ( 690 x 987 ) / 227010

GCD(690, 987) = 681030 / 227010

GCD(690, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 305

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

LCM(3, 305) = 915

GCD(3, 305) = ( 3 x 305 ) / 915

GCD(3, 305) = 915 / 915

GCD(3, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 690, 987, 305, 925 is 1

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1. What is the GCD of 690, 987, 305, 925?

GCD of 690, 987, 305, 925 is 1

2. Where do I get the detailed procedure to find GCD of 690, 987, 305, 925?

You can find a detailed procedure to find GCD of 690, 987, 305, 925 on our page.

3. How to find GCD of 690, 987, 305, 925 on a calculator?

You can find the GCD of 690, 987, 305, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.