GCD of 395, 734, 942, 948 Calculator

Given Input numbers are 395, 734, 942, 948

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 395, 734, 942, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 734, 942, 948 is 1.

Therefore, GCD of numbers 395, 734, 942, 948 is 1

Given Input Data is 395, 734, 942, 948

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 734 is 2 x 367

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(395, 734) = 289930

GCD(395, 734) = ( 395 x 734 ) / 289930

GCD(395, 734) = 289930 / 289930

GCD(395, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 395, 734, 942, 948 is 1

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1. What is the GCD of 395, 734, 942, 948?

GCD of 395, 734, 942, 948 is 1

2. Where do I get the detailed procedure to find GCD of 395, 734, 942, 948?

You can find a detailed procedure to find GCD of 395, 734, 942, 948 on our page.

3. How to find GCD of 395, 734, 942, 948 on a calculator?

You can find the GCD of 395, 734, 942, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.