GCD of 742, 953, 66, 940 Calculator

Given Input numbers are 742, 953, 66, 940

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 742, 953, 66, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 953, 66, 940 is 1.

Therefore, GCD of numbers 742, 953, 66, 940 is 1

Given Input Data is 742, 953, 66, 940

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 953 is 953

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 940 is 2 x 2 x 5 x 47

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, 953) = 707126

GCD(742, 953) = ( 742 x 953 ) / 707126

GCD(742, 953) = 707126 / 707126

GCD(742, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 742, 953, 66, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 429, 70, 899
• GCD of 741, 687, 51, 826
• GCD of 665, 703, 76, 284
• GCD of 734, 245, 98, 544
• GCD of 760, 480, 86, 688

1. What is the GCD of 742, 953, 66, 940?

GCD of 742, 953, 66, 940 is 1

2. Where do I get the detailed procedure to find GCD of 742, 953, 66, 940?

You can find a detailed procedure to find GCD of 742, 953, 66, 940 on our page.

3. How to find GCD of 742, 953, 66, 940 on a calculator?

You can find the GCD of 742, 953, 66, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.