GCD of 401, 140, 462, 968 Calculator

Given Input numbers are 401, 140, 462, 968

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 401, 140, 462, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 140, 462, 968 is 1.

Therefore, GCD of numbers 401, 140, 462, 968 is 1

Given Input Data is 401, 140, 462, 968

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

Prime Factorization of 401 is 401

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 968 is 2 x 2 x 2 x 11 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(401, 140) = 56140

GCD(401, 140) = ( 401 x 140 ) / 56140

GCD(401, 140) = 56140 / 56140

GCD(401, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 401, 140, 462, 968 is 1

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1. What is the GCD of 401, 140, 462, 968?

GCD of 401, 140, 462, 968 is 1

2. Where do I get the detailed procedure to find GCD of 401, 140, 462, 968?

You can find a detailed procedure to find GCD of 401, 140, 462, 968 on our page.

3. How to find GCD of 401, 140, 462, 968 on a calculator?

You can find the GCD of 401, 140, 462, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.