GCD of 770, 788, 590, 915 Calculator

Given Input numbers are 770, 788, 590, 915

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 770, 788, 590, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 788, 590, 915 is 1.

Therefore, GCD of numbers 770, 788, 590, 915 is 1

Given Input Data is 770, 788, 590, 915

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 915 is 3 x 5 x 61

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(770, 788) = 303380

GCD(770, 788) = ( 770 x 788 ) / 303380

GCD(770, 788) = 606760 / 303380

GCD(770, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 915

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

LCM(2, 915) = 1830

GCD(2, 915) = ( 2 x 915 ) / 1830

GCD(2, 915) = 1830 / 1830

GCD(2, 915) = 1

GCD of 770, 788, 590, 915 is 1

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1. What is the GCD of 770, 788, 590, 915?

GCD of 770, 788, 590, 915 is 1

2. Where do I get the detailed procedure to find GCD of 770, 788, 590, 915?

You can find a detailed procedure to find GCD of 770, 788, 590, 915 on our page.

3. How to find GCD of 770, 788, 590, 915 on a calculator?

You can find the GCD of 770, 788, 590, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.