GCD of 715, 202, 78, 743 Calculator

Given Input numbers are 715, 202, 78, 743

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

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 715, 202, 78, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 202, 78, 743 is 1.

Therefore, GCD of numbers 715, 202, 78, 743 is 1

Given Input Data is 715, 202, 78, 743

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 202 is 2 x 101

Prime Factorization of 78 is 2 x 3 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(715, 202) = 144430

GCD(715, 202) = ( 715 x 202 ) / 144430

GCD(715, 202) = 144430 / 144430

GCD(715, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 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 715, 202, 78, 743 is 1

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1. What is the GCD of 715, 202, 78, 743?

GCD of 715, 202, 78, 743 is 1

2. Where do I get the detailed procedure to find GCD of 715, 202, 78, 743?

You can find a detailed procedure to find GCD of 715, 202, 78, 743 on our page.

3. How to find GCD of 715, 202, 78, 743 on a calculator?

You can find the GCD of 715, 202, 78, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.