GCD of 74, 206, 715, 743 Calculator

Given Input numbers are 74, 206, 715, 743

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 74, 206, 715, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 206, 715, 743 is 1.

Therefore, GCD of numbers 74, 206, 715, 743 is 1

Given Input Data is 74, 206, 715, 743

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 206 is 2 x 103

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 743 is 743

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(74, 206) = 7622

GCD(74, 206) = ( 74 x 206 ) / 7622

GCD(74, 206) = 15244 / 7622

GCD(74, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 715

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

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

GCD(2, 715) = 1430 / 1430

GCD(2, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 74, 206, 715, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 431, 614, 890
• GCD of 22, 925, 765, 471
• GCD of 66, 281, 488, 594
• GCD of 44, 695, 502, 149
• GCD of 91, 363, 115, 498

1. What is the GCD of 74, 206, 715, 743?

GCD of 74, 206, 715, 743 is 1

2. Where do I get the detailed procedure to find GCD of 74, 206, 715, 743?

You can find a detailed procedure to find GCD of 74, 206, 715, 743 on our page.

3. How to find GCD of 74, 206, 715, 743 on a calculator?

You can find the GCD of 74, 206, 715, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.