GCD of 892, 777, 77, 344 Calculator

Given Input numbers are 892, 777, 77, 344

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

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 892, 777, 77, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 777, 77, 344 is 1.

Therefore, GCD of numbers 892, 777, 77, 344 is 1

Given Input Data is 892, 777, 77, 344

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 77 is 7 x 11

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(892, 777) = 693084

GCD(892, 777) = ( 892 x 777 ) / 693084

GCD(892, 777) = 693084 / 693084

GCD(892, 777) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 892, 777, 77, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 816, 61, 865
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• GCD of 414, 219, 58, 243
• GCD of 203, 100, 96, 360

1. What is the GCD of 892, 777, 77, 344?

GCD of 892, 777, 77, 344 is 1

2. Where do I get the detailed procedure to find GCD of 892, 777, 77, 344?

You can find a detailed procedure to find GCD of 892, 777, 77, 344 on our page.

3. How to find GCD of 892, 777, 77, 344 on a calculator?

You can find the GCD of 892, 777, 77, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.