GCD of 946, 394, 739, 253 Calculator

Given Input numbers are 946, 394, 739, 253

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

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 946, 394, 739, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 394, 739, 253 is 1.

Therefore, GCD of numbers 946, 394, 739, 253 is 1

Given Input Data is 946, 394, 739, 253

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 394 is 2 x 197

Prime Factorization of 739 is 739

Prime Factorization of 253 is 11 x 23

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(946, 394) = 186362

GCD(946, 394) = ( 946 x 394 ) / 186362

GCD(946, 394) = 372724 / 186362

GCD(946, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 946, 394, 739, 253 is 1

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• GCD of 522, 305, 154, 454
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1. What is the GCD of 946, 394, 739, 253?

GCD of 946, 394, 739, 253 is 1

2. Where do I get the detailed procedure to find GCD of 946, 394, 739, 253?

You can find a detailed procedure to find GCD of 946, 394, 739, 253 on our page.

3. How to find GCD of 946, 394, 739, 253 on a calculator?

You can find the GCD of 946, 394, 739, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.