GCD of 353, 292, 848, 945 Calculator

Given Input numbers are 353, 292, 848, 945

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 353, 292, 848, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 292, 848, 945 is 1.

Therefore, GCD of numbers 353, 292, 848, 945 is 1

Given Input Data is 353, 292, 848, 945

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

Prime Factorization of 353 is 353

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(353, 292) = 103076

GCD(353, 292) = ( 353 x 292 ) / 103076

GCD(353, 292) = 103076 / 103076

GCD(353, 292) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 353, 292, 848, 945 is 1

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1. What is the GCD of 353, 292, 848, 945?

GCD of 353, 292, 848, 945 is 1

2. Where do I get the detailed procedure to find GCD of 353, 292, 848, 945?

You can find a detailed procedure to find GCD of 353, 292, 848, 945 on our page.

3. How to find GCD of 353, 292, 848, 945 on a calculator?

You can find the GCD of 353, 292, 848, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.