GCD of 107, 725, 465, 370 Calculator

Given Input numbers are 107, 725, 465, 370

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 370

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

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

Greatest Common Divisior

We found the divisors of 107, 725, 465, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 725, 465, 370 is 1.

Therefore, GCD of numbers 107, 725, 465, 370 is 1

Given Input Data is 107, 725, 465, 370

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

Prime Factorization of 107 is 107

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 370 is 2 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(107, 725) = 77575

GCD(107, 725) = ( 107 x 725 ) / 77575

GCD(107, 725) = 77575 / 77575

GCD(107, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 107, 725, 465, 370 is 1

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1. What is the GCD of 107, 725, 465, 370?

GCD of 107, 725, 465, 370 is 1

2. Where do I get the detailed procedure to find GCD of 107, 725, 465, 370?

You can find a detailed procedure to find GCD of 107, 725, 465, 370 on our page.

3. How to find GCD of 107, 725, 465, 370 on a calculator?

You can find the GCD of 107, 725, 465, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.