GCD of 677, 914, 29, 292 Calculator

Given Input numbers are 677, 914, 29, 292

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 677, 914, 29, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 914, 29, 292 is 1.

Therefore, GCD of numbers 677, 914, 29, 292 is 1

Given Input Data is 677, 914, 29, 292

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

Prime Factorization of 677 is 677

Prime Factorization of 914 is 2 x 457

Prime Factorization of 29 is 29

Prime Factorization of 292 is 2 x 2 x 73

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(677, 914) = 618778

GCD(677, 914) = ( 677 x 914 ) / 618778

GCD(677, 914) = 618778 / 618778

GCD(677, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 677, 914, 29, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 750, 92, 441
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• GCD of 616, 473, 70, 354

1. What is the GCD of 677, 914, 29, 292?

GCD of 677, 914, 29, 292 is 1

2. Where do I get the detailed procedure to find GCD of 677, 914, 29, 292?

You can find a detailed procedure to find GCD of 677, 914, 29, 292 on our page.

3. How to find GCD of 677, 914, 29, 292 on a calculator?

You can find the GCD of 677, 914, 29, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.