GCD of 674, 714, 253, 983 Calculator

Given Input numbers are 674, 714, 253, 983

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 674, 714, 253, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 714, 253, 983 is 1.

Therefore, GCD of numbers 674, 714, 253, 983 is 1

Given Input Data is 674, 714, 253, 983

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 253 is 11 x 23

Prime Factorization of 983 is 983

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, 714) = 240618

GCD(674, 714) = ( 674 x 714 ) / 240618

GCD(674, 714) = 481236 / 240618

GCD(674, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 674, 714, 253, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 919, 618, 801
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• GCD of 358, 142, 467, 681
• GCD of 972, 736, 640, 305

1. What is the GCD of 674, 714, 253, 983?

GCD of 674, 714, 253, 983 is 1

2. Where do I get the detailed procedure to find GCD of 674, 714, 253, 983?

You can find a detailed procedure to find GCD of 674, 714, 253, 983 on our page.

3. How to find GCD of 674, 714, 253, 983 on a calculator?

You can find the GCD of 674, 714, 253, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.