GCD of 760, 592, 415, 240 Calculator

Given Input numbers are 760, 592, 415, 240

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 760, 592, 415, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 592, 415, 240 is 1.

Therefore, GCD of numbers 760, 592, 415, 240 is 1

Given Input Data is 760, 592, 415, 240

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 415 is 5 x 83

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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(760, 592) = 56240

GCD(760, 592) = ( 760 x 592 ) / 56240

GCD(760, 592) = 449920 / 56240

GCD(760, 592) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 415

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

LCM(8, 415) = 3320

GCD(8, 415) = ( 8 x 415 ) / 3320

GCD(8, 415) = 3320 / 3320

GCD(8, 415) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 760, 592, 415, 240 is 1

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1. What is the GCD of 760, 592, 415, 240?

GCD of 760, 592, 415, 240 is 1

2. Where do I get the detailed procedure to find GCD of 760, 592, 415, 240?

You can find a detailed procedure to find GCD of 760, 592, 415, 240 on our page.

3. How to find GCD of 760, 592, 415, 240 on a calculator?

You can find the GCD of 760, 592, 415, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.