GCD of 749, 654, 344, 677 Calculator

Given Input numbers are 749, 654, 344, 677

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

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 677

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

1, 677

Greatest Common Divisior

We found the divisors of 749, 654, 344, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 654, 344, 677 is 1.

Therefore, GCD of numbers 749, 654, 344, 677 is 1

Given Input Data is 749, 654, 344, 677

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 654 is 2 x 3 x 109

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

Prime Factorization of 677 is 677

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(749, 654) = 489846

GCD(749, 654) = ( 749 x 654 ) / 489846

GCD(749, 654) = 489846 / 489846

GCD(749, 654) = 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 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 749, 654, 344, 677 is 1

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1. What is the GCD of 749, 654, 344, 677?

GCD of 749, 654, 344, 677 is 1

2. Where do I get the detailed procedure to find GCD of 749, 654, 344, 677?

You can find a detailed procedure to find GCD of 749, 654, 344, 677 on our page.

3. How to find GCD of 749, 654, 344, 677 on a calculator?

You can find the GCD of 749, 654, 344, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.