GCD of 406, 938, 87, 264 Calculator

Given Input numbers are 406, 938, 87, 264

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 406, 938, 87, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 938, 87, 264 is 1.

Therefore, GCD of numbers 406, 938, 87, 264 is 1

Given Input Data is 406, 938, 87, 264

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 87 is 3 x 29

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(406, 938) = 27202

GCD(406, 938) = ( 406 x 938 ) / 27202

GCD(406, 938) = 380828 / 27202

GCD(406, 938) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 87

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

LCM(14, 87) = 1218

GCD(14, 87) = ( 14 x 87 ) / 1218

GCD(14, 87) = 1218 / 1218

GCD(14, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 406, 938, 87, 264 is 1

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• GCD of 878, 357, 41, 258
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• GCD of 435, 494, 55, 571

1. What is the GCD of 406, 938, 87, 264?

GCD of 406, 938, 87, 264 is 1

2. Where do I get the detailed procedure to find GCD of 406, 938, 87, 264?

You can find a detailed procedure to find GCD of 406, 938, 87, 264 on our page.

3. How to find GCD of 406, 938, 87, 264 on a calculator?

You can find the GCD of 406, 938, 87, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.