GCD of 688, 392, 766, 545 Calculator

Given Input numbers are 688, 392, 766, 545

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 688, 392, 766, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 392, 766, 545 is 1.

Therefore, GCD of numbers 688, 392, 766, 545 is 1

Given Input Data is 688, 392, 766, 545

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 766 is 2 x 383

Prime Factorization of 545 is 5 x 109

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(688, 392) = 33712

GCD(688, 392) = ( 688 x 392 ) / 33712

GCD(688, 392) = 269696 / 33712

GCD(688, 392) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 766

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

LCM(8, 766) = 3064

GCD(8, 766) = ( 8 x 766 ) / 3064

GCD(8, 766) = 6128 / 3064

GCD(8, 766) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 545

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

LCM(2, 545) = 1090

GCD(2, 545) = ( 2 x 545 ) / 1090

GCD(2, 545) = 1090 / 1090

GCD(2, 545) = 1

GCD of 688, 392, 766, 545 is 1

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1. What is the GCD of 688, 392, 766, 545?

GCD of 688, 392, 766, 545 is 1

2. Where do I get the detailed procedure to find GCD of 688, 392, 766, 545?

You can find a detailed procedure to find GCD of 688, 392, 766, 545 on our page.

3. How to find GCD of 688, 392, 766, 545 on a calculator?

You can find the GCD of 688, 392, 766, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.