GCD of 413, 762, 971, 168 Calculator

Given Input numbers are 413, 762, 971, 168

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 413, 762, 971, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 762, 971, 168 is 1.

Therefore, GCD of numbers 413, 762, 971, 168 is 1

Given Input Data is 413, 762, 971, 168

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 971 is 971

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(413, 762) = 314706

GCD(413, 762) = ( 413 x 762 ) / 314706

GCD(413, 762) = 314706 / 314706

GCD(413, 762) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 413, 762, 971, 168 is 1

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1. What is the GCD of 413, 762, 971, 168?

GCD of 413, 762, 971, 168 is 1

2. Where do I get the detailed procedure to find GCD of 413, 762, 971, 168?

You can find a detailed procedure to find GCD of 413, 762, 971, 168 on our page.

3. How to find GCD of 413, 762, 971, 168 on a calculator?

You can find the GCD of 413, 762, 971, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.