GCD of 674, 154, 787, 754 Calculator

Given Input numbers are 674, 154, 787, 754

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

Divisors of 674

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

1, 2, 337, 674

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

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 674, 154, 787, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 154, 787, 754 is 1.

Therefore, GCD of numbers 674, 154, 787, 754 is 1

Given Input Data is 674, 154, 787, 754

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 787 is 787

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(674, 154) = 51898

GCD(674, 154) = ( 674 x 154 ) / 51898

GCD(674, 154) = 103796 / 51898

GCD(674, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 787

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

LCM(2, 787) = 1574

GCD(2, 787) = ( 2 x 787 ) / 1574

GCD(2, 787) = 1574 / 1574

GCD(2, 787) = 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 674, 154, 787, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 890, 912, 198
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• GCD of 427, 314, 955, 296

1. What is the GCD of 674, 154, 787, 754?

GCD of 674, 154, 787, 754 is 1

2. Where do I get the detailed procedure to find GCD of 674, 154, 787, 754?

You can find a detailed procedure to find GCD of 674, 154, 787, 754 on our page.

3. How to find GCD of 674, 154, 787, 754 on a calculator?

You can find the GCD of 674, 154, 787, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.