GCD of 677, 704, 344, 942 Calculator

Given Input numbers are 677, 704, 344, 942

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 344

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

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 677, 704, 344, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 704, 344, 942 is 1.

Therefore, GCD of numbers 677, 704, 344, 942 is 1

Given Input Data is 677, 704, 344, 942

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

Prime Factorization of 677 is 677

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 942 is 2 x 3 x 157

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, 704) = 476608

GCD(677, 704) = ( 677 x 704 ) / 476608

GCD(677, 704) = 476608 / 476608

GCD(677, 704) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 677, 704, 344, 942 is 1

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1. What is the GCD of 677, 704, 344, 942?

GCD of 677, 704, 344, 942 is 1

2. Where do I get the detailed procedure to find GCD of 677, 704, 344, 942?

You can find a detailed procedure to find GCD of 677, 704, 344, 942 on our page.

3. How to find GCD of 677, 704, 344, 942 on a calculator?

You can find the GCD of 677, 704, 344, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.