GCD of 140, 664, 38, 821 Calculator

Given Input numbers are 140, 664, 38, 821

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

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 140, 664, 38, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 664, 38, 821 is 1.

Therefore, GCD of numbers 140, 664, 38, 821 is 1

Given Input Data is 140, 664, 38, 821

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

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 38 is 2 x 19

Prime Factorization of 821 is 821

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(140, 664) = 23240

GCD(140, 664) = ( 140 x 664 ) / 23240

GCD(140, 664) = 92960 / 23240

GCD(140, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

GCD of 140, 664, 38, 821 is 1

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• GCD of 688, 232, 92, 182
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1. What is the GCD of 140, 664, 38, 821?

GCD of 140, 664, 38, 821 is 1

2. Where do I get the detailed procedure to find GCD of 140, 664, 38, 821?

You can find a detailed procedure to find GCD of 140, 664, 38, 821 on our page.

3. How to find GCD of 140, 664, 38, 821 on a calculator?

You can find the GCD of 140, 664, 38, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.