GCD of 910, 925, 14, 274 Calculator

Given Input numbers are 910, 925, 14, 274

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 910, 925, 14, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 925, 14, 274 is 1.

Therefore, GCD of numbers 910, 925, 14, 274 is 1

Given Input Data is 910, 925, 14, 274

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 14 is 2 x 7

Prime Factorization of 274 is 2 x 137

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(910, 925) = 168350

GCD(910, 925) = ( 910 x 925 ) / 168350

GCD(910, 925) = 841750 / 168350

GCD(910, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 14

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

LCM(5, 14) = 70

GCD(5, 14) = ( 5 x 14 ) / 70

GCD(5, 14) = 70 / 70

GCD(5, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 910, 925, 14, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 795, 23, 582
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• GCD of 729, 397, 50, 235

1. What is the GCD of 910, 925, 14, 274?

GCD of 910, 925, 14, 274 is 1

2. Where do I get the detailed procedure to find GCD of 910, 925, 14, 274?

You can find a detailed procedure to find GCD of 910, 925, 14, 274 on our page.

3. How to find GCD of 910, 925, 14, 274 on a calculator?

You can find the GCD of 910, 925, 14, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.