GCD of 274, 370, 73, 125 Calculator

Given Input numbers are 274, 370, 73, 125

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 274, 370, 73, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 370, 73, 125 is 1.

Therefore, GCD of numbers 274, 370, 73, 125 is 1

Given Input Data is 274, 370, 73, 125

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 73 is 73

Prime Factorization of 125 is 5 x 5 x 5

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(274, 370) = 50690

GCD(274, 370) = ( 274 x 370 ) / 50690

GCD(274, 370) = 101380 / 50690

GCD(274, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 274, 370, 73, 125 is 1

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• GCD of 757, 381, 30, 703
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1. What is the GCD of 274, 370, 73, 125?

GCD of 274, 370, 73, 125 is 1

2. Where do I get the detailed procedure to find GCD of 274, 370, 73, 125?

You can find a detailed procedure to find GCD of 274, 370, 73, 125 on our page.

3. How to find GCD of 274, 370, 73, 125 on a calculator?

You can find the GCD of 274, 370, 73, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.