GCD of 761, 660, 689, 355 Calculator

Given Input numbers are 761, 660, 689, 355

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 761, 660, 689, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 660, 689, 355 is 1.

Therefore, GCD of numbers 761, 660, 689, 355 is 1

Given Input Data is 761, 660, 689, 355

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

Prime Factorization of 761 is 761

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 689 is 13 x 53

Prime Factorization of 355 is 5 x 71

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(761, 660) = 502260

GCD(761, 660) = ( 761 x 660 ) / 502260

GCD(761, 660) = 502260 / 502260

GCD(761, 660) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 761, 660, 689, 355 is 1

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• GCD of 577, 570, 617, 820
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1. What is the GCD of 761, 660, 689, 355?

GCD of 761, 660, 689, 355 is 1

2. Where do I get the detailed procedure to find GCD of 761, 660, 689, 355?

You can find a detailed procedure to find GCD of 761, 660, 689, 355 on our page.

3. How to find GCD of 761, 660, 689, 355 on a calculator?

You can find the GCD of 761, 660, 689, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.