GCD of 674, 874, 74, 407 Calculator

Given Input numbers are 674, 874, 74, 407

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 674, 874, 74, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 874, 74, 407 is 1.

Therefore, GCD of numbers 674, 874, 74, 407 is 1

Given Input Data is 674, 874, 74, 407

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 407 is 11 x 37

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, 874) = 294538

GCD(674, 874) = ( 674 x 874 ) / 294538

GCD(674, 874) = 589076 / 294538

GCD(674, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 674, 874, 74, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 560, 24, 185
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• GCD of 306, 851, 10, 543
• GCD of 897, 954, 88, 944
• GCD of 574, 410, 40, 390

1. What is the GCD of 674, 874, 74, 407?

GCD of 674, 874, 74, 407 is 1

2. Where do I get the detailed procedure to find GCD of 674, 874, 74, 407?

You can find a detailed procedure to find GCD of 674, 874, 74, 407 on our page.

3. How to find GCD of 674, 874, 74, 407 on a calculator?

You can find the GCD of 674, 874, 74, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.