GCD of 942, 298, 416, 743 Calculator

Given Input numbers are 942, 298, 416, 743

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 942, 298, 416, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 298, 416, 743 is 1.

Therefore, GCD of numbers 942, 298, 416, 743 is 1

Given Input Data is 942, 298, 416, 743

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 298 is 2 x 149

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 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(942, 298) = 140358

GCD(942, 298) = ( 942 x 298 ) / 140358

GCD(942, 298) = 280716 / 140358

GCD(942, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 416

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

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

GCD(2, 416) = 832 / 416

GCD(2, 416) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

GCD of 942, 298, 416, 743 is 1

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1. What is the GCD of 942, 298, 416, 743?

GCD of 942, 298, 416, 743 is 1

2. Where do I get the detailed procedure to find GCD of 942, 298, 416, 743?

You can find a detailed procedure to find GCD of 942, 298, 416, 743 on our page.

3. How to find GCD of 942, 298, 416, 743 on a calculator?

You can find the GCD of 942, 298, 416, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.