GCD of 690, 461, 925, 348 Calculator

Given Input numbers are 690, 461, 925, 348

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 690, 461, 925, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 461, 925, 348 is 1.

Therefore, GCD of numbers 690, 461, 925, 348 is 1

Given Input Data is 690, 461, 925, 348

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 461 is 461

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 461) = 318090

GCD(690, 461) = ( 690 x 461 ) / 318090

GCD(690, 461) = 318090 / 318090

GCD(690, 461) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 690, 461, 925, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 934, 161, 134
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• GCD of 747, 760, 350, 932
• GCD of 914, 280, 582, 398

1. What is the GCD of 690, 461, 925, 348?

GCD of 690, 461, 925, 348 is 1

2. Where do I get the detailed procedure to find GCD of 690, 461, 925, 348?

You can find a detailed procedure to find GCD of 690, 461, 925, 348 on our page.

3. How to find GCD of 690, 461, 925, 348 on a calculator?

You can find the GCD of 690, 461, 925, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.