GCD of 770, 414, 171, 649 Calculator

Given Input numbers are 770, 414, 171, 649

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 770, 414, 171, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 414, 171, 649 is 1.

Therefore, GCD of numbers 770, 414, 171, 649 is 1

Given Input Data is 770, 414, 171, 649

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 649 is 11 x 59

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, 414) = 159390

GCD(770, 414) = ( 770 x 414 ) / 159390

GCD(770, 414) = 318780 / 159390

GCD(770, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 770, 414, 171, 649 is 1

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1. What is the GCD of 770, 414, 171, 649?

GCD of 770, 414, 171, 649 is 1

2. Where do I get the detailed procedure to find GCD of 770, 414, 171, 649?

You can find a detailed procedure to find GCD of 770, 414, 171, 649 on our page.

3. How to find GCD of 770, 414, 171, 649 on a calculator?

You can find the GCD of 770, 414, 171, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.