GCD of 701, 408, 35, 460 Calculator

Given Input numbers are 701, 408, 35, 460

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

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 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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

Greatest Common Divisior

We found the divisors of 701, 408, 35, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 408, 35, 460 is 1.

Therefore, GCD of numbers 701, 408, 35, 460 is 1

Given Input Data is 701, 408, 35, 460

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

Prime Factorization of 701 is 701

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

Prime Factorization of 35 is 5 x 7

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

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(701, 408) = 286008

GCD(701, 408) = ( 701 x 408 ) / 286008

GCD(701, 408) = 286008 / 286008

GCD(701, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 701, 408, 35, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 982, 61, 398
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• GCD of 311, 949, 32, 251

1. What is the GCD of 701, 408, 35, 460?

GCD of 701, 408, 35, 460 is 1

2. Where do I get the detailed procedure to find GCD of 701, 408, 35, 460?

You can find a detailed procedure to find GCD of 701, 408, 35, 460 on our page.

3. How to find GCD of 701, 408, 35, 460 on a calculator?

You can find the GCD of 701, 408, 35, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.