GCD of 760, 697, 55 Calculator

Given Input numbers are 760, 697, 55

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Greatest Common Divisior

We found the divisors of 760, 697, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 697, 55 is 1.

Therefore, GCD of numbers 760, 697, 55 is 1

Given Input Data is 760, 697, 55

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 697 is 17 x 41

Prime Factorization of 55 is 5 x 11

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, 697) = 529720

GCD(760, 697) = ( 760 x 697 ) / 529720

GCD(760, 697) = 529720 / 529720

GCD(760, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

GCD of 760, 697, 55 is 1

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1. What is the GCD of 760, 697, 55?

GCD of 760, 697, 55 is 1

2. Where do I get the detailed procedure to find GCD of 760, 697, 55?

You can find a detailed procedure to find GCD of 760, 697, 55 on our page.

3. How to find GCD of 760, 697, 55 on a calculator?

You can find the GCD of 760, 697, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.