GCD of 770, 278, 563, 523 Calculator

Given Input numbers are 770, 278, 563, 523

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 770, 278, 563, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 278, 563, 523 is 1.

Therefore, GCD of numbers 770, 278, 563, 523 is 1

Given Input Data is 770, 278, 563, 523

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 278 is 2 x 139

Prime Factorization of 563 is 563

Prime Factorization of 523 is 523

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, 278) = 107030

GCD(770, 278) = ( 770 x 278 ) / 107030

GCD(770, 278) = 214060 / 107030

GCD(770, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 770, 278, 563, 523 is 1

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1. What is the GCD of 770, 278, 563, 523?

GCD of 770, 278, 563, 523 is 1

2. Where do I get the detailed procedure to find GCD of 770, 278, 563, 523?

You can find a detailed procedure to find GCD of 770, 278, 563, 523 on our page.

3. How to find GCD of 770, 278, 563, 523 on a calculator?

You can find the GCD of 770, 278, 563, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.