GCD of 769, 470, 275, 988 Calculator

Given Input numbers are 769, 470, 275, 988

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 769, 470, 275, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 470, 275, 988 is 1.

Therefore, GCD of numbers 769, 470, 275, 988 is 1

Given Input Data is 769, 470, 275, 988

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

Prime Factorization of 769 is 769

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(769, 470) = 361430

GCD(769, 470) = ( 769 x 470 ) / 361430

GCD(769, 470) = 361430 / 361430

GCD(769, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 769, 470, 275, 988 is 1

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1. What is the GCD of 769, 470, 275, 988?

GCD of 769, 470, 275, 988 is 1

2. Where do I get the detailed procedure to find GCD of 769, 470, 275, 988?

You can find a detailed procedure to find GCD of 769, 470, 275, 988 on our page.

3. How to find GCD of 769, 470, 275, 988 on a calculator?

You can find the GCD of 769, 470, 275, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.