GCD of 277, 984, 34, 892 Calculator

Given Input numbers are 277, 984, 34, 892

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

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 277, 984, 34, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 984, 34, 892 is 1.

Therefore, GCD of numbers 277, 984, 34, 892 is 1

Given Input Data is 277, 984, 34, 892

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

Prime Factorization of 277 is 277

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 34 is 2 x 17

Prime Factorization of 892 is 2 x 2 x 223

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(277, 984) = 272568

GCD(277, 984) = ( 277 x 984 ) / 272568

GCD(277, 984) = 272568 / 272568

GCD(277, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 277, 984, 34, 892 is 1

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1. What is the GCD of 277, 984, 34, 892?

GCD of 277, 984, 34, 892 is 1

2. Where do I get the detailed procedure to find GCD of 277, 984, 34, 892?

You can find a detailed procedure to find GCD of 277, 984, 34, 892 on our page.

3. How to find GCD of 277, 984, 34, 892 on a calculator?

You can find the GCD of 277, 984, 34, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.