GCD of 764, 371, 674, 754 Calculator

Given Input numbers are 764, 371, 674, 754

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 764, 371, 674, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 371, 674, 754 is 1.

Therefore, GCD of numbers 764, 371, 674, 754 is 1

Given Input Data is 764, 371, 674, 754

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 371 is 7 x 53

Prime Factorization of 674 is 2 x 337

Prime Factorization of 754 is 2 x 13 x 29

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(764, 371) = 283444

GCD(764, 371) = ( 764 x 371 ) / 283444

GCD(764, 371) = 283444 / 283444

GCD(764, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 764, 371, 674, 754 is 1

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1. What is the GCD of 764, 371, 674, 754?

GCD of 764, 371, 674, 754 is 1

2. Where do I get the detailed procedure to find GCD of 764, 371, 674, 754?

You can find a detailed procedure to find GCD of 764, 371, 674, 754 on our page.

3. How to find GCD of 764, 371, 674, 754 on a calculator?

You can find the GCD of 764, 371, 674, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.