GCD of 42, 706, 846, 295 Calculator

Given Input numbers are 42, 706, 846, 295

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 42, 706, 846, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 706, 846, 295 is 1.

Therefore, GCD of numbers 42, 706, 846, 295 is 1

Given Input Data is 42, 706, 846, 295

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 706 is 2 x 353

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 295 is 5 x 59

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(42, 706) = 14826

GCD(42, 706) = ( 42 x 706 ) / 14826

GCD(42, 706) = 29652 / 14826

GCD(42, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 295

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

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

GCD(2, 295) = 590 / 590

GCD(2, 295) = 1

GCD of 42, 706, 846, 295 is 1

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• GCD of 64, 992, 980, 707
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1. What is the GCD of 42, 706, 846, 295?

GCD of 42, 706, 846, 295 is 1

2. Where do I get the detailed procedure to find GCD of 42, 706, 846, 295?

You can find a detailed procedure to find GCD of 42, 706, 846, 295 on our page.

3. How to find GCD of 42, 706, 846, 295 on a calculator?

You can find the GCD of 42, 706, 846, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.