GCD of 742, 786, 309, 955 Calculator

Given Input numbers are 742, 786, 309, 955

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 742, 786, 309, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 786, 309, 955 is 1.

Therefore, GCD of numbers 742, 786, 309, 955 is 1

Given Input Data is 742, 786, 309, 955

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 309 is 3 x 103

Prime Factorization of 955 is 5 x 191

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(742, 786) = 291606

GCD(742, 786) = ( 742 x 786 ) / 291606

GCD(742, 786) = 583212 / 291606

GCD(742, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 742, 786, 309, 955 is 1

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1. What is the GCD of 742, 786, 309, 955?

GCD of 742, 786, 309, 955 is 1

2. Where do I get the detailed procedure to find GCD of 742, 786, 309, 955?

You can find a detailed procedure to find GCD of 742, 786, 309, 955 on our page.

3. How to find GCD of 742, 786, 309, 955 on a calculator?

You can find the GCD of 742, 786, 309, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.