GCD of 674, 532, 946, 187 Calculator

Given Input numbers are 674, 532, 946, 187

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 674, 532, 946, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 532, 946, 187 is 1.

Therefore, GCD of numbers 674, 532, 946, 187 is 1

Given Input Data is 674, 532, 946, 187

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

Prime Factorization of 674 is 2 x 337

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 187 is 11 x 17

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(674, 532) = 179284

GCD(674, 532) = ( 674 x 532 ) / 179284

GCD(674, 532) = 358568 / 179284

GCD(674, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

GCD of 674, 532, 946, 187 is 1

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1. What is the GCD of 674, 532, 946, 187?

GCD of 674, 532, 946, 187 is 1

2. Where do I get the detailed procedure to find GCD of 674, 532, 946, 187?

You can find a detailed procedure to find GCD of 674, 532, 946, 187 on our page.

3. How to find GCD of 674, 532, 946, 187 on a calculator?

You can find the GCD of 674, 532, 946, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.