GCD of 942, 735, 56, 403 Calculator

Given Input numbers are 942, 735, 56, 403

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 942, 735, 56, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 735, 56, 403 is 1.

Therefore, GCD of numbers 942, 735, 56, 403 is 1

Given Input Data is 942, 735, 56, 403

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 403 is 13 x 31

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(942, 735) = 230790

GCD(942, 735) = ( 942 x 735 ) / 230790

GCD(942, 735) = 692370 / 230790

GCD(942, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 942, 735, 56, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 856, 27, 646
• GCD of 573, 838, 23, 748
• GCD of 303, 578, 56, 769
• GCD of 998, 115, 57, 635
• GCD of 299, 314, 89, 854

1. What is the GCD of 942, 735, 56, 403?

GCD of 942, 735, 56, 403 is 1

2. Where do I get the detailed procedure to find GCD of 942, 735, 56, 403?

You can find a detailed procedure to find GCD of 942, 735, 56, 403 on our page.

3. How to find GCD of 942, 735, 56, 403 on a calculator?

You can find the GCD of 942, 735, 56, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.