GCD of 753, 854, 749, 854 Calculator

Given Input numbers are 753, 854, 749, 854

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 749

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

1, 7, 107, 749

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 753, 854, 749, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 854, 749, 854 is 1.

Therefore, GCD of numbers 753, 854, 749, 854 is 1

Given Input Data is 753, 854, 749, 854

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 749 is 7 x 107

Prime Factorization of 854 is 2 x 7 x 61

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(753, 854) = 643062

GCD(753, 854) = ( 753 x 854 ) / 643062

GCD(753, 854) = 643062 / 643062

GCD(753, 854) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 753, 854, 749, 854 is 1

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• GCD of 679, 483, 996, 767

1. What is the GCD of 753, 854, 749, 854?

GCD of 753, 854, 749, 854 is 1

2. Where do I get the detailed procedure to find GCD of 753, 854, 749, 854?

You can find a detailed procedure to find GCD of 753, 854, 749, 854 on our page.

3. How to find GCD of 753, 854, 749, 854 on a calculator?

You can find the GCD of 753, 854, 749, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.