GCD of 532, 343, 421, 945 Calculator

Given Input numbers are 532, 343, 421, 945

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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 532, 343, 421, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 343, 421, 945 is 1.

Therefore, GCD of numbers 532, 343, 421, 945 is 1

Given Input Data is 532, 343, 421, 945

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 421 is 421

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(532, 343) = 26068

GCD(532, 343) = ( 532 x 343 ) / 26068

GCD(532, 343) = 182476 / 26068

GCD(532, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 421

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

LCM(7, 421) = 2947

GCD(7, 421) = ( 7 x 421 ) / 2947

GCD(7, 421) = 2947 / 2947

GCD(7, 421) = 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 532, 343, 421, 945 is 1

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• GCD of 736, 871, 200, 329
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1. What is the GCD of 532, 343, 421, 945?

GCD of 532, 343, 421, 945 is 1

2. Where do I get the detailed procedure to find GCD of 532, 343, 421, 945?

You can find a detailed procedure to find GCD of 532, 343, 421, 945 on our page.

3. How to find GCD of 532, 343, 421, 945 on a calculator?

You can find the GCD of 532, 343, 421, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.