GCD of 925, 305, 70, 474 Calculator

Given Input numbers are 925, 305, 70, 474

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 305

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

1, 5, 61, 305

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 925, 305, 70, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 305, 70, 474 is 1.

Therefore, GCD of numbers 925, 305, 70, 474 is 1

Given Input Data is 925, 305, 70, 474

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 305 is 5 x 61

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 474 is 2 x 3 x 79

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, 305) = 56425

GCD(925, 305) = ( 925 x 305 ) / 56425

GCD(925, 305) = 282125 / 56425

GCD(925, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 70

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

LCM(5, 70) = 70

GCD(5, 70) = ( 5 x 70 ) / 70

GCD(5, 70) = 350 / 70

GCD(5, 70) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 474

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

LCM(5, 474) = 2370

GCD(5, 474) = ( 5 x 474 ) / 2370

GCD(5, 474) = 2370 / 2370

GCD(5, 474) = 1

GCD of 925, 305, 70, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 383, 97, 984
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• GCD of 534, 211, 93, 714
• GCD of 266, 348, 95, 857
• GCD of 709, 847, 73, 980

1. What is the GCD of 925, 305, 70, 474?

GCD of 925, 305, 70, 474 is 1

2. Where do I get the detailed procedure to find GCD of 925, 305, 70, 474?

You can find a detailed procedure to find GCD of 925, 305, 70, 474 on our page.

3. How to find GCD of 925, 305, 70, 474 on a calculator?

You can find the GCD of 925, 305, 70, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.