GCD of 760, 408, 437, 411 Calculator

Given Input numbers are 760, 408, 437, 411

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 760, 408, 437, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 408, 437, 411 is 1.

Therefore, GCD of numbers 760, 408, 437, 411 is 1

Given Input Data is 760, 408, 437, 411

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 437 is 19 x 23

Prime Factorization of 411 is 3 x 137

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(760, 408) = 38760

GCD(760, 408) = ( 760 x 408 ) / 38760

GCD(760, 408) = 310080 / 38760

GCD(760, 408) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 437

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

LCM(8, 437) = 3496

GCD(8, 437) = ( 8 x 437 ) / 3496

GCD(8, 437) = 3496 / 3496

GCD(8, 437) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 760, 408, 437, 411 is 1

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1. What is the GCD of 760, 408, 437, 411?

GCD of 760, 408, 437, 411 is 1

2. Where do I get the detailed procedure to find GCD of 760, 408, 437, 411?

You can find a detailed procedure to find GCD of 760, 408, 437, 411 on our page.

3. How to find GCD of 760, 408, 437, 411 on a calculator?

You can find the GCD of 760, 408, 437, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.