GCD of 97, 974, 714, 674 Calculator

Given Input numbers are 97, 974, 714, 674

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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 674

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

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 97, 974, 714, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 974, 714, 674 is 1.

Therefore, GCD of numbers 97, 974, 714, 674 is 1

Given Input Data is 97, 974, 714, 674

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

Prime Factorization of 97 is 97

Prime Factorization of 974 is 2 x 487

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

Prime Factorization of 674 is 2 x 337

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(97, 974) = 94478

GCD(97, 974) = ( 97 x 974 ) / 94478

GCD(97, 974) = 94478 / 94478

GCD(97, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

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

GCD of 97, 974, 714, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 315, 937, 864
• GCD of 61, 423, 223, 325
• GCD of 43, 599, 543, 632
• GCD of 50, 471, 224, 107
• GCD of 56, 716, 119, 109

1. What is the GCD of 97, 974, 714, 674?

GCD of 97, 974, 714, 674 is 1

2. Where do I get the detailed procedure to find GCD of 97, 974, 714, 674?

You can find a detailed procedure to find GCD of 97, 974, 714, 674 on our page.

3. How to find GCD of 97, 974, 714, 674 on a calculator?

You can find the GCD of 97, 974, 714, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.