GCD of 460, 356, 942, 721 Calculator

Given Input numbers are 460, 356, 942, 721

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 460, 356, 942, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 356, 942, 721 is 1.

Therefore, GCD of numbers 460, 356, 942, 721 is 1

Given Input Data is 460, 356, 942, 721

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 721 is 7 x 103

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(460, 356) = 40940

GCD(460, 356) = ( 460 x 356 ) / 40940

GCD(460, 356) = 163760 / 40940

GCD(460, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 942

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

LCM(4, 942) = 1884

GCD(4, 942) = ( 4 x 942 ) / 1884

GCD(4, 942) = 3768 / 1884

GCD(4, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 721

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

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

GCD(2, 721) = 1442 / 1442

GCD(2, 721) = 1

GCD of 460, 356, 942, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 268, 482, 740
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• GCD of 976, 941, 298, 241

1. What is the GCD of 460, 356, 942, 721?

GCD of 460, 356, 942, 721 is 1

2. Where do I get the detailed procedure to find GCD of 460, 356, 942, 721?

You can find a detailed procedure to find GCD of 460, 356, 942, 721 on our page.

3. How to find GCD of 460, 356, 942, 721 on a calculator?

You can find the GCD of 460, 356, 942, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.